Simply connected varieties in characteristic p > 0

Helene Esnault; Vasudevan Srinivas; Jean Benoit Bost

doi:10.1112/S0010437X15007654

Simply connected varieties in characteristic p > 0

Helene Esnault
, Vasudevan Srinivas
, Jean Benoit Bost

Mathematics

Free University of Berlin
Université Paris-Saclay

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We show that there are no non-trivial stratified bundles over a smooth simply connected quasi-projective variety over an algebraic closure of a finite field if the variety admits a normal projective compactification with boundary locus of codimension greater than or equal to 2.

Original language	English
Pages (from-to)	255-287
Number of pages	33
Journal	Compositio Mathematica
Volume	152
Issue number	2
DOIs	https://doi.org/10.1112/S0010437X15007654
State	Published - Feb 1 2016

Keywords

Stratified bundles
formal and algebraic geometry
fundamental groups

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10.1112/S0010437X15007654

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title = "Simply connected varieties in characteristic p > 0",

abstract = "We show that there are no non-trivial stratified bundles over a smooth simply connected quasi-projective variety over an algebraic closure of a finite field if the variety admits a normal projective compactification with boundary locus of codimension greater than or equal to 2.",

keywords = "Stratified bundles, formal and algebraic geometry, fundamental groups",

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AU - Esnault, Helene

AU - Srinivas, Vasudevan

AU - Bost, Jean Benoit

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N2 - We show that there are no non-trivial stratified bundles over a smooth simply connected quasi-projective variety over an algebraic closure of a finite field if the variety admits a normal projective compactification with boundary locus of codimension greater than or equal to 2.

AB - We show that there are no non-trivial stratified bundles over a smooth simply connected quasi-projective variety over an algebraic closure of a finite field if the variety admits a normal projective compactification with boundary locus of codimension greater than or equal to 2.

KW - Stratified bundles

KW - formal and algebraic geometry

KW - fundamental groups

UR - https://www.scopus.com/pages/publications/84959440193

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M3 - Article

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Simply connected varieties in characteristic p > 0

Abstract

Keywords

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