ID | 55352 |
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Author |
Symondsb, Peter
University of Manchester
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Abstract | 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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Keywords | Frobenius direct image
Hilbert–Kunz multiplicity
F-signature
Frobenius limit
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Note | This is an Accepted Manuscript of an article published by Elsevier
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Published Date | 2017-01-10
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Publication Title |
Advances in Mathematics
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Volume | volume305
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Publisher | Elsevier
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Start Page | 144
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End Page | 164
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ISSN | 0001-8708
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NCID | AA00513055
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Content Type |
Journal Article
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language |
English
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OAI-PMH Set |
岡山大学
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Copyright Holders | https://creativecommons.org/licenses/by-nc-nd/4.0/deed.ja
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File Version | author
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DOI | |
Web of Science KeyUT | |
Related Url | isVersionOf https://doi.org/10.1016/j.aim.2016.09.020
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