Vanishing theorems for constructible sheaves on abelian varieties

DOI10.1090/jag/645zbMath1338.14023arXiv1111.4947OpenAlexW1997598560MaRDI QIDQ5264285

Thomas Krämer, Rainer Weissauer

Publication date: 27 July 2015

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4947

zbMATH Keywords

charactersabelian varietyperverse sheaves

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Abelian varieties and schemes (14K99)

Related Items (18)

Monodromy of elliptic curve convolution, seven-point sheaves of \(G_2\) type, and motives of Beauville type ⋮ Vanishing theorems for constructible sheaves on abelian varieties over finite fields ⋮ Constructible Sheaf Complexes in Complex Geometry and Applications ⋮ Characteristic cycles and the microlocal geometry of the Gauss map, I ⋮ Mellin transformation, propagation, and abelian duality spaces ⋮ Vanishing theorems for perverse sheaves on abelian varieties, revisited ⋮ On the Tannaka group attached to the theta divisor of a generic principally polarized abelian variety ⋮ Generic vanishing, 1-forms, and topology of Albanese maps ⋮ Complex analysis -- differential and algebraic methods in Kähler spaces. Abstracts from the workshop held April 9--14, 2023 ⋮ Summands of theta divisors on Jacobians ⋮ Perverse sheaves on semi-abelian varieties -- a survey of properties and applications ⋮ Characteristic cycles and the microlocal geometry of the Gauss map. II ⋮ Perverse sheaves on semi-abelian varieties ⋮ Cubic threefolds, Fano surfaces and the monodromy of the Gauss map ⋮ Characteristic classes and Hilbert-Poincaré series for perverse sheaves on abelian varieties ⋮ Étale cohomology of rank one \(\ell \)-adic local systems in positive characteristic ⋮ Aspherical manifolds, Mellin transformation and a question of Bobadilla-Kollár ⋮ Holonomic \(D\)-modules on abelian varieties

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