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Simply connected varieties in characteristic $p>0$

Part of: Arithmetic algebraic geometry Arithmetic problems. Diophantine geometry Local theory (Co)homology theory

Published online by Cambridge University Press:  09 October 2015

Hélène Esnault ,
Vasudevan Srinivas  and
Jean-Benoît Bost
Hélène Esnault
Affiliation:
Freie Universität Berlin, Arnimallee 3, 14195, Berlin, Germany email esnault@math.fu-berlin.de
Vasudevan Srinivas
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai-400005, India email srinivas@math.tifr.res.in
Jean-Benoît Bost
Affiliation:
Département de Mathématiques, Université Paris-Sud, Bât. 425, 91405, Orsay, France email jean-benoit.bost@math.u-psud.fr
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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 bundlesfundamental groupsformal and algebraic geometry

MSC classification

Primary: 11G99: None of the above, but in this section 14B20: Formal neighborhoods 14G17: Positive characteristic ground fields 14G99: None of the above, but in this section 14F35: Homotopy theory; fundamental groups

Information

Type
Research Article
Information
Compositio Mathematica , Volume 152 , Issue 2 , February 2016 , pp. 255 - 287
Copyright
© The Authors 2015 

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