| フルテキストURL | mjou_064_075_107.pdf |
|---|---|
| 著者 | Nagamachi, Ippei| |
| 抄録 | We give good reduction criteria for hyperbolic polycurves, i.e., successive extensions of families of curves, under some assumptions. These criteria are higher dimensional versions of the good reduction criterion for hyperbolic curves given by Oda and Tamagawa. |
| キーワード | good reduction, hyperbolic curve, polyucurve, ètale fundamental group. |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 75 |
| 終了ページ | 107 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_109_116.pdf |
|---|---|
| 著者 | Yagita, Nobuaki| |
| 抄録 | Let p be a prime number. For a given finite group G, let gr*γ(BG) be the associated ring of the gamma filtration of the topological K-theory for the classifying space BG. In this paper, we study gr*γ(BG) when G are abelian p-groups which are not elementary. In particular, we extend related Chetard’s results for such 2-groups to p-groups for odd p. |
| キーワード | K-theory gamma fitration abelian p-group |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 109 |
| 終了ページ | 116 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_063_073.pdf |
|---|---|
| 著者 | Tasaka, Koji| |
| 抄録 | A partial answer to a conjecture about the rank of the matrix CN,r introduced by Francis Brown in the study of totally odd multiple zeta values is given. |
| キーワード | Multiple zeta values Period polynomials |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 63 |
| 終了ページ | 73 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_117_141.pdf |
|---|---|
| 著者 | Wang, Qi| |
| 抄録 | As the first attempt to classify τ-tilting finite two-point algebras, we have determined the τ-tilting finiteness for minimal wild two-point algebras and some tame two-point algebras. |
| キーワード | Support τ-tilting modules τ-tilting finite two-point algebras |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 117 |
| 終了ページ | 141 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_153_186.pdf |
|---|---|
| 著者 | Nishiyama, Yuta| |
| 抄録 | In this article, we introduce some identities obtained from the inner products of some symmetric polynomials including the Macdonald polynomials. These identities are obtained not only from the inner products, but also by constructing certain bijections. The bijections are constructed through transforming the Young diagrams of partitions. |
| キーワード | Macdonald polynomials Young diagram bijective proof |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 153 |
| 終了ページ | 186 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_001_011.pdf |
|---|---|
| 著者 | Hoshi, Yuichiro| |
| 抄録 | In the present paper, we consider torsion points on ample divisors on abelian varieties. We prove that, for each integer n ≤ 2, an effective divisor of level n on an abelian variety does not contain the subgroup of n-torsion points. Moreover, we also discuss an application of this result to the study of the p-rank of cyclic coverings of curves in positive characteristic. |
| キーワード | abelian variety torsion point curve p-rank |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 1 |
| 終了ページ | 11 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_013_029.pdf |
|---|---|
| 著者 | Seita, Kohei| |
| 抄録 | Let G be a finite group. In 1970s, T. Petrie defined the Smith equivalence of real G-modules. The Smith set of G is the subset of the real representation ring consisting of elements obtained as differences of Smith equivalent real G-modules. Various results of the topic have been obtained. The d-Smith set of G is the set of all elements [V ]−[W] in the Smith set of G such that the H-fixed point sets of V and W have the same dimension for all subgroups H of G. The results of the Smith sets of the alternating groups and the symmetric groups are obtained by E. Laitinen, K. Pawa lowski and R. Solomon. In this paper, we give the calculation results of the d-Smith sets of the alternating groups and the symmetric groups. In addition, we give the calculation results of the d-Smith sets of Cartesian products of the alternating groups and finite elementary abelian 2-groups. |
| キーワード | Real G-module Smith equivalence Oliver group alternating group |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 13 |
| 終了ページ | 29 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_031_045.pdf |
|---|---|
| 著者 | Yamagishi, Hiroyuki| |
| 抄録 | We have the best constants of three kinds of discrete Sobolev inequalities on the complete bipartite graph with 2N vertices, that is, KN,N. We introduce a discrete Laplacian A on KN,N. A is a 2N ×2N real symmetric positive-semidefinite matrix whose eigenvector corresponding to zero eigenvalue is 1 = t(1, 1, … , 1)∈ C2N. A discrete heat kernel, a Green’s matrix and a pseudo Green’s matrix play important roles in giving the best constants. |
| キーワード | Discrete Sobolev inequality Discrete Laplacian Green’s matrix Reproducing relation |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 31 |
| 終了ページ | 45 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_187_190.pdf |
|---|---|
| 著者 | Puthenpurakal, Tony J. | |
| 抄録 | Let K be a field and consider the standard grading on A = K[X1, ... ,Xd]. Let I, J be monomial ideals in A. Let In(J) = (In : J∞) be the nth symbolic power of I with respect to J. It is easy to see that the function fI J (n) = e0(In(J)/In) is of quasi-polynomial type, say of period g and degree c. For n ≫ 0 say fIJ (n) = ac(n)nc + ac−1(n)nc−1 + lower terms, where for i = 0, ... , c, ai : N → Q are periodic functions of period g and ac ≠0. In [4, 2.4] we (together with Herzog and Verma) proved that dim In(J)/In is constant for n ≫ 0 and ac(−) is a constant. In this paper we prove that if I is generated by some elements of the same degree and height I ≥ 2 then ac−1(−) is also a constant. |
| キーワード | quasi-polynomials monomial ideals symbolic powers |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 187 |
| 終了ページ | 190 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_191_213.pdf |
|---|---|
| 著者 | Suzuki, Takeshi| Toyosawa, Yoshitaka| |
| 抄録 | We present a conjectural hook formula concerning the number of the standard tableaux on "cylindric" skew diagrams. Our formula can be seen as an extension of Naruse's hook formula for skew diagrams. Moreover, we prove our conjecture in some special cases. |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 191 |
| 終了ページ | 213 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_143_151.pdf |
|---|---|
| 著者 | Aokage, Kazuya | Tabata, Sumitaka | Yamada, Hiro-Fumi| |
| 抄録 | A quantum version of classical Sylvester-Franke theorem is presented. After reviewing some representation theory of the quantum group GLq (n, C), the commutation relations of the matrix elements are verified. Once quantum determinant of the representation matrix is defined, the theorem follows naturally |
| キーワード | Quantum general linear group Sylvester-Franke theorem |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 143 |
| 終了ページ | 151 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_047_061.pdf |
|---|---|
| 著者 | Yamanaka, Satoshi| |
| 抄録 | The notion of weakly separable extensions was introduced by N. Hamaguchi and A. Nakajima as a generalization of separable extensions. The purpose of this article is to give a characterization of weakly separable polynomials in skew polynomial rings. Moreover, we shall show the relation between separability and weak separability in skew polynomial rings of derivation type. |
| キーワード | separable extension weakly separable extension skew polynomial ring derivation |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 47 |
| 終了ページ | 61 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_064_215_225.pdf |
|---|---|
| 著者 | Hyodo, Fumitake| |
| 抄録 | This paper focuses on the theory of the Hecke rings associated with the general linear groups originally studied by Hecke and Shimura et al., and moreover generalizes its notions to Hecke rings associated with the automorphism groups of certain algebras. Then, in the case of the Heisenberg Lie algebra, we show an analog of the classical theory. |
| キーワード | Hecke rings noncommutative rings |
| 発行日 | 2022-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 64巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 215 |
| 終了ページ | 225 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_063_107_122.pdf |
|---|---|
| 著者 | Kato, Ryo| Shimomura, katsumi| |
| 抄録 | In recent years, Liu and his collaborators found many non-trivial products of generators in the homotopy groups of the sphere spectrum. In this paper, we show a result which not only implies most of their results, but also extends a result of theirs. |
| キーワード | Stable homotopy of spheres Adams spectral sequence May spectral sequence |
| 発行日 | 2021-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 63巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 107 |
| 終了ページ | 122 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_063_123_131.pdf |
|---|---|
| 著者 | Lee, Min Ho| |
| 抄録 | Given Jacobi forms, we determine associated Jacobi-like forms, whose coefficients are quasimodular forms. We then use these quasimodular forms to construct differential operators on modular forms, which are expressed in terms of the Fourier coefficients of the given Jacobi forms. |
| キーワード | Jacobi forms Jacobi-like forms modular forms quasimodular forms |
| 発行日 | 2021-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 63巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 123 |
| 終了ページ | 131 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_063_087_105.pdf |
|---|---|
| 著者 | Zdzisław, Wojtkowiak| |
| 抄録 | The fact that the double zeta values ζ(n, m) can be written in terms of zeta values, whenever n+m is odd is attributed to Euler. We shall show the weak version of this result for the l-adic Galois realization. |
| キーワード | multiple zeta values Galois groups fundamental groups |
| 発行日 | 2021-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 63巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 87 |
| 終了ページ | 105 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_063_053_060.pdf |
|---|---|
| 著者 | Iokibe, Gaku| |
| 抄録 | In this paper, we refine the method introduced by Izadi and Baghalaghdam to search integer solutions to the Diophantine equation . We show that the Diophantine equation has infinitely many positive solutions.
|
| キーワード | Diophantine equations Elliptic Curves |
| 発行日 | 2021-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 63巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 53 |
| 終了ページ | 60 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_063_133_151.pdf |
|---|---|
| 著者 | Aokage, Kazuya| |
| 抄録 | We derive the Schur function identities coming from the tensor products of the spin representations of the symmetric group Sn. We deal with the tensor products of the basic spin representation V (n) and any spin representation V λ (λ ∈ SP (n)). The characteristic map of the tensor product ζn ⊗ ζλ is described by Stembridge[4] for the case of odd n. We consider the case n is even. |
| キーワード | symmetric group symmetric function projective representation |
| 発行日 | 2021-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 63巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 133 |
| 終了ページ | 151 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_063_061_086.pdf |
|---|---|
| 著者 | Itaba, Ayako| Matsuno, Masaki| |
| 抄録 | Classification of AS-regular algebras is one of the main interests in non-commutative algebraic geometry. Recently, a complete list of superpotentials (defining relations) of all 3-dimensional AS-regular algebras which are Calabi-Yau was given by Mori-Smith (the quadratic case) and Mori-Ueyama (the cubic case), however, no complete list of defining relations of all 3-dimensional AS-regular algebras has not appeared in the literature. In this paper, we give all possible defining relations of 3-dimensional quadratic AS-regular algebras. Moreover, we classify them up to isomorphism and up to graded Morita equivalence in terms of their defining relations in the case that their point schemes are not elliptic curves. In the case that their point schemes are elliptic curves, we give conditions for isomorphism and graded Morita equivalence in terms of geometric data. |
| キーワード | AS-regular algebras geometric algebras quadratic algebras nodal cubic curves elliptic curves Hesse form Sklyanin algebras |
| 発行日 | 2021-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 63巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 61 |
| 終了ページ | 86 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_063_001_014.pdf |
|---|---|
| 著者 | Graef, John R.| Beldjerd, Djamila| Remili, Moussadek| |
| 抄録 | In this paper, sufficient conditions are established for the stability, boundedness and square integrability of solutions for some non-linear neutral delay differential equations of third order. Lyapunov’s direct method is used to obtain the results. |
| キーワード | boundedness stability square integrability |
| 発行日 | 2021-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 63巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 1 |
| 終了ページ | 14 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University |