Generic vanishing in characteristic \(p>0\) and the geometry of theta divisors

DOI10.1007/s40574-021-00304-6zbMath1504.14079arXiv2009.12041OpenAlexW3197100685MaRDI QIDQ2162465

Zsolt Patakfalvi, Christopher Derek Hacon

Publication date: 8 August 2022

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.12041

zbMATH Keywords

positive characteristictheta divisorsgeneric vanishing

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Theta functions and abelian varieties (14K25) Arithmetic ground fields for abelian varieties (14K15)

Cites Work

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• Higher direct images of dualizing sheaves. I
• Higher direct images of dualizing sheaves. II
• Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville
• Birational characterization of abelian varieties and ordinary abelian varieties in characteristic \(p>0\)
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Generic vanishing in characteristic p > 0 and the characterization of ordinary abelian varieties
• A survey of test ideals
• GV-sheaves, Fourier-Mukai transform, and generic vanishing
• Duality between D(X) and with its application to picard sheaves
• On $\psi$-invariant subvarieties of semiabelian varieties and the Manin-Mumford conjecture
• Higher Obstructions to Deforming Cohomology Groups of Line Bundles
• A derived category approach to generic vanishing
• p −1-Linear Maps in Algebra and Geometry
• Singularities of theta divisors and the birational geometry of irregular varieties

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