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Conference on Algebraic Geometry
June 30, 2022 17:00, Moscow, MI RAS, Conference Hall, Zoom


Two derived categories of a generic complex torus

A. I. Bondalab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region



Abstract: We will show that the derived category of $\mathcal O$-modules with coherent cohomology and the derived category of coherent sheaves are not equivalent for a generic compact complex-analytic torus of dimension $>2$. We will compare the algebraic structure of the two categories.

Language: English


© Steklov Math. Inst. of RAS, 2024