A proper smooth fourfold over a perfect field of characteristic p>0 is constructed with asymmetric Hodge-Witt numbers in total degree 3 via computation of the Hodge-Witt cohomology of the classifying stack B alpha_p.
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On de Rham--Witt Cohomology of Classifying Stacks
A proper smooth fourfold over a perfect field of characteristic p>0 is constructed with asymmetric Hodge-Witt numbers in total degree 3 via computation of the Hodge-Witt cohomology of the classifying stack B alpha_p.