Monodromy results for abelian surfaces and K3 surfaces with bad reduction

Tejasi Bhatnagar

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arXiv · 2411.16865

Monodromy results for abelian surfaces and K3 surfaces with bad reduction

Tejasi Bhatnagar

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Abstract

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.

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Tejasi Bhatnagar. 2024-11-25. Monodromy results for abelian surfaces and K3 surfaces with bad reduction. https://arxiv.org/abs/2411.16865

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