English

Monodromy results for abelian surfaces and K3 surfaces with bad reduction

Number Theory 2024-11-27 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.2411.16865,
  title  = {Monodromy results for abelian surfaces and K3 surfaces with bad reduction},
  author = {Tejasi Bhatnagar},
  journal= {arXiv preprint arXiv:2411.16865},
  year   = {2024}
}