著者 Hashimoto, Mitsuyasu| Symondsb, Peter|
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 Fulltext available in Jan 2019
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 English
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 10.1016/j.aim.2016.09.020
Web of Sience KeyUT 000406169200003
関連URL https://doi.org/10.1016/j.aim.2016.09.020