Blow-up invariance for Hodge-Witt sheaves with modulus

2024/05/13 by Atsushi Shiho, Shiho, Atsushi
Mathematics · #14F30 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2405.07849

openalex publication_date 2024/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Modulus sheaves with transfers
• Blow-up invariance of cohomology theories with modulus
• Duality for Hodge-Witt cohomology with modulus
• The Blowup Formula for the Instanton Part of Vafa-Witten Invariants on Projective Surfaces
• Stratifications for moduli of sheaves and moduli of quiver representations