Simply connected varieties in characteristic

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 $2$ .

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Veröffentlicht in:Compositio mathematica 2016-02, Vol.152 (2), p.255-287
Hauptverfasser: Esnault, Hélène, Srinivas, Vasudevan, Bost, Jean-Benoît
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container_title Compositio mathematica
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creator Esnault, Hélène
Srinivas, Vasudevan
Bost, Jean-Benoît
description 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 $2$ .
doi_str_mv 10.1112/S0010437X15007654
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source EZB-FREE-00999 freely available EZB journals; Cambridge University Press Journals Complete
subjects Algebra
Boundaries
Boundary layer
Bundles
Closures
Mathematical analysis
title Simply connected varieties in characteristic
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