ON THE GEOMETRY OF THE NEWTON STRATIFICATION

Eva Viehmann

doi:10.1017/9781108649711.008

ON THE GEOMETRY OF THE NEWTON STRATIFICATION

Eva Viehmann

Chair of Algorithmic Algebra

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

3 Scopus citations

Abstract

We give an 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.

Original language	English
Title of host publication	Shimura Varieties
Publisher	Cambridge University Press
Pages	192-208
Number of pages	17
ISBN (Electronic)	9781108649711
ISBN (Print)	9781108704861
DOIs	https://doi.org/10.1017/9781108649711.008
State	Published - 1 Jan 2020

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AB - We give an 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.

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ON THE GEOMETRY OF THE NEWTON STRATIFICATION

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