Monodromy results for abelian surfaces and K3 surfaces with bad reduction

Fuente: arXiv
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Autor principal: Bhatnagar, Tejasi
Formato: Preprint
Publicado: 2024
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author Bhatnagar, Tejasi
author_facet Bhatnagar, Tejasi
contents The purpose of this paper is to prove a local p-adic monodromy theorem for ordinary abelian surfaces and K3 surfaces with bad reduction in characteristic p. As an application, we get a finiteness result for the reduction of their Hecke orbits in the case of type II supersingular reduction.
format Preprint
id arxiv_https___arxiv_org_abs_2411_16865
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Monodromy results for abelian surfaces and K3 surfaces with bad reduction
Bhatnagar, Tejasi
Number Theory
Algebraic Geometry
The purpose of this paper is to prove a local p-adic monodromy theorem for ordinary abelian surfaces and K3 surfaces with bad reduction in characteristic p. As an application, we get a finiteness result for the reduction of their Hecke orbits in the case of type II supersingular reduction.
title Monodromy results for abelian surfaces and K3 surfaces with bad reduction
topic Number Theory
Algebraic Geometry
url https://arxiv.org/abs/2411.16865