ID | 55352 |
フルテキストURL | |
著者 |
Symondsb, Peter
University of Manchester
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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.
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キーワード | Frobenius direct image
Hilbert–Kunz multiplicity
F-signature
Frobenius limit
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備考 | This is an Accepted Manuscript of an article published by Elsevier
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発行日 | 2017-01-10
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出版物タイトル |
Advances in Mathematics
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巻 | 305巻
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出版者 | Elsevier
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開始ページ | 144
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終了ページ | 164
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ISSN | 0001-8708
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NCID | AA00513055
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資料タイプ |
学術雑誌論文
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言語 |
英語
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OAI-PMH Set |
岡山大学
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著作権者 | https://creativecommons.org/licenses/by-nc-nd/4.0/deed.ja
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論文のバージョン | author
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DOI | |
Web of Science KeyUT | |
関連URL | isVersionOf https://doi.org/10.1016/j.aim.2016.09.020
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