GENERIC VANISHING IN CHARACTERISTIC p > 0 AND THE CHARACTERIZATION OF ORDINARY ABELIAN VARIETIES

GENERIC VANISHING IN CHARACTERISTIC p > 0 AND THE CHARACTERIZATION OF ORDINARY ABELIAN VARIETIES

We prove a generic vanishing type statement in positive characteristic and apply it to prove positive characteristic versions of Kawamata's theorems: a characterization of smooth varieties birational to ordinary abelian varieties and the surjectivity of the Albanese map when the Frobenius stabl...

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Veröffentlicht in:American journal of mathematics 2016-08, Vol.138 (4), p.963-998
Hauptverfasser: Hacon, Christopher D., Patakfalvi, Zsolt
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Heuristic
Theorems
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Beschreibung
Zusammenfassung:We prove a generic vanishing type statement in positive characteristic and apply it to prove positive characteristic versions of Kawamata's theorems: a characterization of smooth varieties birational to ordinary abelian varieties and the surjectivity of the Albanese map when the Frobenius stable Kodaira dimension is zero.
ISSN:0002-9327
1080-6377
1080-6377
DOI:10.1353/ajm.2016.0031