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Kernel algebras and generalized Fourier-Mukai transforms

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Publication:535407
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DOI10.4171/JNCG/73zbMath1214.14015arXiv0810.1542MaRDI QIDQ535407

Alexander Polishchuk

Publication date: 11 May 2011

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

Full work available at URL: https://arxiv.org/abs/0810.1542


zbMATH Keywords

derived categoriesabelian varieties\(D\)-modules1-motivesFourier-Mukai transformscommutative group schemesequivariant sheavesformal groupoids


Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Algebraic theory of abelian varieties (14K05)


Related Items

The Poincaré line bundle and autoduality of Hitchin fibers ⋮ Gerbes and the holomorphic Brauer group of complex tori ⋮ The Eilenberg-Watts theorem over schemes ⋮ Phases of Lagrangian-invariant objects in the derived category of an abelian variety



Cites Work

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  • Differentiable stacks and gerbes
  • Fourier-Mukai and Nahm transforms in geometry and mathematical physics
  • The derived category of quasi-coherent sheaves and axiomatic stable homotopy
  • Perverse coherent sheaves
  • Integral transforms and Drinfeld centers in derived algebraic geometry
  • Twisting derived equivalences
  • Local homology and cohomology on schemes
  • Duality and flat base change on formal schemes
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