Blow-up invariance for Hodge-Witt sheaves with modulus

TL;DR

This paper proves that Hodge-Witt sheaves with modulus remain invariant under blow-up operations, extending previous results and enabling their representation in the category of motives with modulus, assuming resolution of singularities.

Contribution

It generalizes blow-up invariance results for Hodge-Witt sheaves with modulus, building on prior work for Witt and Hodge sheaves, and establishes their representability in motives with modulus.

Findings

Proves blow-up invariance for Hodge-Witt sheaves with modulus.

Establishes representability of these sheaves in motives with modulus.

Extends previous invariance results to a broader class of sheaves.

Abstract

In this paper, we prove the blow-up invariance for Hodge-Witt sheaves with modulus, which is a generalization of a result of Koizumi for Witt sheaves and that of Kelly-Miyazaki and Koizumi for Hodge sheaves. As a consequence, we obtain the representability of Hodge-Witt sheaves with modulus in the category of motives with modulus under the assumption of resolution of singularities.