Birational characterization of abelian varieties and ordinary abelian varieties in characteristic \(p>0\)

DOI10.1215/00127094-2019-0008zbMath1436.14033arXiv1703.06631OpenAlexW3102687964MaRDI QIDQ2320374

Lei Zhang, Zsolt Patakfalvi, Christopher Derek Hacon

Publication date: 22 August 2019

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.06631

zbMATH Keywords

abelian varietiespositive characteristicbirational geometry

Mathematics Subject Classification ID

Arithmetic ground fields for abelian varieties (14K15) Algebraic theory of abelian varieties (14K05) Birational geometry (14E99)

Related Items (8)

Generic vanishing in characteristic \(p>0\) and the geometry of theta divisors ⋮ Globally \(+\)-regular varieties and the minimal model program for threefolds in mixed characteristic ⋮ Polarized endomorphisms of normal projective threefolds in arbitrary characteristic ⋮ Abundance for 3-folds with non-trivial Albanese maps in positive characteristic ⋮ Nonvanishing for 3-folds in characteristic \(p>5\) ⋮ When is the Albanese morphism an algebraic fiber space in positive characteristic? ⋮ A theorem of Tits type for automorphism groups of projective varieties in arbitrary characteristic. With an appendix by Tomohide Terasoma ⋮ On the characterization of abelian varieties for log pairs in zero and positive characteristic

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• Quelques Proprietes des Varietes Abeliennes en Caracteristique p
• p −1-Linear Maps in Algebra and Geometry
• Abundance for non‐uniruled 3‐folds with non‐trivial Albanese maps in positive characteristics

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