Simply connected varieties in characteristic

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
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Boundaries
Boundary layer
Bundles
Closures
Mathematical analysis
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Beschreibung
Zusammenfassung: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 $2$ .
ISSN:0010-437X
1570-5846
DOI:10.1112/S0010437X15007654