学術雑誌論文 The asymptotic behavior of Frobenius direct images of rings of invariants

Hashimoto, Mitsuyasu  ,  Symondsb, Peter

305pp.144 - 164 , 2017-01-10 , Elsevier
ISSN:0001-8708
NII書誌ID(NCID):AA00513055
内容記述
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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