On de Rham--Witt Cohomology of Classifying Stacks

Fuente: arXiv
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Hauptverfasser: Li, Shizhang, Yang, Yuan
Format: Preprint
Veröffentlicht: 2026
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author Li, Shizhang
Yang, Yuan
author_facet Li, Shizhang
Yang, Yuan
contents We give an example of proper smooth fourfold over a perfect field k of characteristic p > 0 with asymmetric Hodge--Witt numbers in total degree 3. Our example is sharp both in terms of dimension and total degree. We arrive at our example by computing and approximating the Hodge--Witt cohomology groups of the classifying stack B alpha_p.
format Preprint
id arxiv_https___arxiv_org_abs_2604_03062
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On de Rham--Witt Cohomology of Classifying Stacks
Li, Shizhang
Yang, Yuan
Algebraic Geometry
Number Theory
We give an example of proper smooth fourfold over a perfect field k of characteristic p > 0 with asymmetric Hodge--Witt numbers in total degree 3. Our example is sharp both in terms of dimension and total degree. We arrive at our example by computing and approximating the Hodge--Witt cohomology groups of the classifying stack B alpha_p.
title On de Rham--Witt Cohomology of Classifying Stacks
topic Algebraic Geometry
Number Theory
url https://arxiv.org/abs/2604.03062