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June 2021 On Syntomic Complexes with Modulus for Semi-stable Reduction Cases
Kento YAMAMOTO
Tokyo J. Math. 44(1): 175-233 (June 2021). DOI: 10.3836/tjm/1502179342

Abstract

In this paper, we define a syntomic complex for modulus pair $(X,D)$, where $X$ is a regular semi-stable family and $D$ is an effective Cartier divisor on $X$ and we compute its cohomology sheaves. We construct a symbol map for this syntomic complex for modulus pair $(X,D)$ and investigate its cokernel by computing its cohomology sheaves. To compute the structure of the cohomology sheaves of syntomic complex with modulus, we define some filtrations on it.

Citation

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Kento YAMAMOTO. "On Syntomic Complexes with Modulus for Semi-stable Reduction Cases." Tokyo J. Math. 44 (1) 175 - 233, June 2021. https://doi.org/10.3836/tjm/1502179342

Information

Published: June 2021
First available in Project Euclid: 9 July 2021

Digital Object Identifier: 10.3836/tjm/1502179342

Subjects:
Primary: 14F30

Rights: Copyright © 2021 Publication Committee for the Tokyo Journal of Mathematics

JOURNAL ARTICLE
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Vol.44 • No. 1 • June 2021
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