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ID 55352
フルテキストURL
著者
Hashimoto, Mitsuyasu Department of Mathematics, Okayama University Kaken ID researchmap
Symondsb, Peter University of Manchester
抄録
We define the Frobenius limit of a module over a ring of prime characteristic to be the limit of the normalized Frobenius direct images in a certain Grothendieck group. When a finite group acts on a polynomial ring, we calculate this limit for all the modules over the twisted group algebra that are free over the polynomial ring; we also calculate the Frobenius limit for the restriction of these to the ring of invariants. As an application, we generalize the description of the generalized F-signature of a ring of invariants by the second author and Nakajima to the modular case.
キーワード
Frobenius direct image
Hilbert–Kunz multiplicity
F-signature
Frobenius limit
備考
This is an Accepted Manuscript of an article published by Elsevier
発行日
2017-01-10
出版物タイトル
Advances in Mathematics
305巻
出版者
Elsevier
開始ページ
144
終了ページ
164
ISSN
0001-8708
NCID
AA00513055
資料タイプ
学術雑誌論文
言語
英語
OAI-PMH Set
岡山大学
著作権者
https://creativecommons.org/licenses/by-nc-nd/4.0/deed.ja
論文のバージョン
author
DOI
Web of Science KeyUT
関連URL
isVersionOf https://doi.org/10.1016/j.aim.2016.09.020