On de Rham--Witt Cohomology of Classifying Stacks
Algebraic Geometry
2026-04-06 v1 Number Theory
Abstract
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.
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Cite
@article{arxiv.2604.03062,
title = {On de Rham--Witt Cohomology of Classifying Stacks},
author = {Shizhang Li and Yuan Yang},
journal= {arXiv preprint arXiv:2604.03062},
year = {2026}
}
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44 pages