Derived categories of torsors for abelian schemes

DOI10.1016/j.aim.2016.09.037zbMath1388.14060arXiv1409.2580OpenAlexW2963805406MaRDI QIDQ728214

D. Kharzeev

Publication date: 19 December 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.2580

zbMATH Keywords

Brauer groupsderived equivalenceelliptic 3-foldsgenus 1 curves

Mathematics Subject Classification ID

Related Items (11)

Lifting automorphisms on abelian varieties as derived autoequivalences ⋮ Derived equivalences and Kodaira fibers ⋮ Derived categories of centrally‐symmetric smooth toric Fano varieties ⋮ Reconstruction of projective curves from the derived category ⋮ L‐equivalence for degree five elliptic curves, elliptic fibrations and K3 surfaces ⋮ Categorical Torelli theorems: results and open problems ⋮ Algebraic \(K\)-theory and derived equivalences suggested by T-duality for torus orientifolds ⋮ Derived equivalent threefolds, algebraic representatives, and the coniveau filtration ⋮ Rational points and derived equivalence ⋮ On derived categories of arithmetic toric varieties ⋮ Derived equivalence, Albanese varieties, and the zeta functions of 3–dimensional varieties

Uses Software

• RelBrauer

Cites Work

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• Vector Bundles Over an Elliptic Curve
• Fourier-Mukai transforms for elliptic surfaces
• Relative Brauer Groups of Function Fields of Curves of Genus One
• Derived categories of coherent sheaves on Abelian varieties and equivalences between them
• Derived invariance of the number of holomorphic $1$-forms and vector fields
• Complex surfaces with equivalent derived categories

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