English

On the geometry of the Newton stratification

Algebraic Geometry 2015-11-11 v1

Abstract

We give an expository overview over recent results on the global structure and geometry of the Newton stratification of the reduction modulo p of Shimura varieties of Hodge type with hyperspecial level structure. More precisely, we discuss non-emptiness, dimensions, and closure relations of Newton strata. We also explain the group-theoretic description and methods leading to their proofs.

Keywords

Cite

@article{arxiv.1511.03156,
  title  = {On the geometry of the Newton stratification},
  author = {Eva Viehmann},
  journal= {arXiv preprint arXiv:1511.03156},
  year   = {2015}
}