Hodge stratification in low dimension
Number Theory
2022-04-22 v1 Algebraic Geometry
Abstract
We define and study the Hodge stratification for the special fiber of Shimura varieties defined with the Pappas-Rapoport condition, in the case of low ramification index (). For , the Hodge polygon induces a strong stratification. For , one needs to introduce several polygons. They describe the isomorphism class of the sheaf of differentials with extra structure, and induce a strong stratification on the variety.
Keywords
Cite
@article{arxiv.2204.10121,
title = {Hodge stratification in low dimension},
author = {Stéphane Bijakowski},
journal= {arXiv preprint arXiv:2204.10121},
year = {2022}
}