Perverse sheaves on semiabelian varieties

DOI10.4171/RSMUP/132-7zbMath1317.14037arXiv1309.4726OpenAlexW2056372639MaRDI QIDQ481030

Thomas Krämer

Publication date: 12 December 2014

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4726

zbMATH Keywords

vanishing theoremperverse sheafsemiabelian varietyTannakian fundamental group

Mathematics Subject Classification ID

Related Items (13)

Monodromy of elliptic curve convolution, seven-point sheaves of \(G_2\) type, and motives of Beauville type ⋮ Constructible Sheaf Complexes in Complex Geometry and Applications ⋮ Non-abelian Mellin transformations and applications ⋮ Characteristic cycles and the microlocal geometry of the Gauss map, I ⋮ Mellin transformation, propagation, and abelian duality spaces ⋮ Summands of theta divisors on Jacobians ⋮ Perverse sheaves on semi-abelian varieties -- a survey of properties and applications ⋮ Generic vanishing for semi-abelian varieties and integral Alexander modules ⋮ Perverse sheaves on semi-abelian varieties ⋮ Cubic threefolds, Fano surfaces and the monodromy of the Gauss map ⋮ On the signed Euler characteristic property for subvarieties of abelian varieties ⋮ Characteristic classes and Hilbert-Poincaré series for perverse sheaves on abelian varieties ⋮ Aspherical manifolds, Mellin transformation and a question of Bobadilla-Kollár

Cites Work

• Unnamed Item
• On the Tannaka group attached to the theta divisor of a generic principally polarized abelian variety
• \(\ell\)-adic perverse sheaves over a torus
• The tame fundamental groups of a formal neighbourhood of a divisor with normal crossings on a scheme
• Triangulated Categories
• Prime-to-p étale covers of algebraic groups and homogeneous spaces
• Tame coverings of arithmetic schemes.

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