| FullText URL | mjou_065_023_034.pdf |
|---|---|
| Author | Kato, Ryo| |
| Abstract | Let E(2) be the second Johnson-Wilson spectrum at the prime 3. In this paper, we show that some beta elements exist in the homotopy groups of the E(2)-localized sphere spectrum with a grading over the Picard group of the stable homotopy category of E(2)-local spectra. |
| Keywords | Stable homotopy of spheres Picard group |
| Published Date | 2023-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume65 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 23 |
| End Page | 34 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright ©2023 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_066_159_169.pdf |
|---|---|
| Author | Shiraishi, Densuke| |
| Abstract | In this paper, we derive formulas of complex and ℓ-adic multiple polylogarithms, which have two aspects: a duality in terms of indexes and a reflection in terms of variables. We provide an algebraic proof of these formulas by using algebraic relations between associators arising from the S3-symmetry of the projective line minus three points. |
| Keywords | multiple polylogarithm ℓ-adic Galois multiple polylogarithm duality-reflection formula |
| Published Date | 2024-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume66 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 159 |
| End Page | 169 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| Author | Kurata, Yoshiki| Koike, Kazutoshi| |
|---|---|
| Published Date | 1995-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume37 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33787 |
| Author | Koike, Kazutoshi| |
|---|---|
| Published Date | 1995-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume37 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33793 |
| Author | Kamishima, Yoshinobu| |
|---|---|
| Published Date | 1981-06 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume23 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33860 |
| Author | Tu, Shih-Tong| |
|---|---|
| Published Date | 1970-12 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume14 |
| Issue | issue2 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33651 |
| Author | Tu, Shih-Tong| |
|---|---|
| Published Date | 1970-12 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume14 |
| Issue | issue2 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33650 |
| Author | Kutami, Mamoru| Oshiro, Kiyoichi| |
|---|---|
| Published Date | 1978-10 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume20 |
| Issue | issue2 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33962 |
| FullText URL | mjou_066_045_061.pdf |
|---|---|
| Author | Nakamura, Tomoya| |
| Abstract | We define Dirac pairs on Jacobi algebroids, which is a generalization of Dirac pairs on Lie algebroids introduced by Kosmann-Schwarzbach. We show the relationship between Dirac pairs on Lie and on Jacobi algebroids, and that Dirac pairs on Jacobi algebroids characterize several compatible structures on Jacobi algebroids. |
| Keywords | Dirac pair Dirac structure Jacobi algebroid Lie algebroid |
| Published Date | 2024-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume66 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 45 |
| End Page | 61 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| Author | Lavallee, Melissa J.| Spearman, Blair K.| Williams, Kenneth S.| Yang, Qiduan| |
|---|---|
| Published Date | 2005-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume47 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33591 |
| FullText URL | mjou_063_123_131.pdf |
|---|---|
| Author | Lee, Min Ho| |
| Abstract | 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. |
| Keywords | Jacobi forms Jacobi-like forms modular forms quasimodular forms |
| Published Date | 2021-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume63 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 123 |
| End Page | 131 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_063_015_052.pdf |
|---|---|
| Author | da Silva, Luiz C. B.| |
| Abstract | We study invariant surfaces generated by one-parameter subgroups of simply and pseudo isotropic rigid motions. Basically, the simply and pseudo isotropic geometries are the study of a three-dimensional space equipped with a rank 2 metric of index zero and one, respectively. We show that the one-parameter subgroups of isotropic rigid motions lead to seven types of invariant surfaces, which then generalizes the study of revolution and helicoidal surfaces in Euclidean and Lorentzian spaces to the context of singular metrics. After computing the two fundamental forms of these surfaces and their Gaussian and mean curvatures, we solve the corresponding problem of prescribed curvature for invariant surfaces whose generating curves lie on a plane containing the degenerated direction. |
| Keywords | Simply isotropic space pseudo-isotropic space singular metric invariant surface prescribed Gaussian curvature prescribed mean curvature |
| Published Date | 2021-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume63 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 15 |
| End Page | 52 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University |
| Author | Trzepizur, Andrzej| |
|---|---|
| Published Date | 1985-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume27 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33442 |
| Author | Ihara, Kentaro| |
|---|---|
| Published Date | 2005-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume47 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33600 |
| Author | Trzepizur, Andrzej| |
|---|---|
| Published Date | 1986-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume28 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33941 |
| Author | Sasao, Akira| |
|---|---|
| Published Date | 1992-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume34 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33156 |
| Author | Ikeda, Kazuoki| |
|---|---|
| Published Date | 1992-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume34 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33143 |
| FullText URL | mjou_063_061_086.pdf |
|---|---|
| Author | Itaba, Ayako| Matsuno, Masaki| |
| Abstract | 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. |
| Keywords | AS-regular algebras geometric algebras quadratic algebras nodal cubic curves elliptic curves Hesse form Sklyanin algebras |
| Published Date | 2021-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume63 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 61 |
| End Page | 86 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University |
| Author | Miyashita, Toshikazu| |
|---|---|
| Published Date | 2002-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume44 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33126 |
| Author | Lidl, Rudolf| Mullen, Gary L.| |
|---|---|
| Published Date | 1991-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume33 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33705 |
