English

Blow-up invariance for Hodge-Witt sheaves with modulus

Algebraic Geometry 2024-05-14 v1 Number Theory

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.

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Cite

@article{arxiv.2405.07849,
  title  = {Blow-up invariance for Hodge-Witt sheaves with modulus},
  author = {Atsushi Shiho},
  journal= {arXiv preprint arXiv:2405.07849},
  year   = {2024}
}

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22 pages