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Simply connected varieties in characteristic $p>0$

Published online by Cambridge University Press:  09 October 2015

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

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 $2$ .

Type
Research Article
Copyright
© The Authors 2015 

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