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Explicit Dolgachev surfaces, exceptional collections, and phantoms

I. V. Karzhemanovab

a University of Tokyo
b Kavli Institute for the Physics and Mathematics of the Universe



Abstract: I will describe one explicit construction of a Dolgachev surface, exceptional collection on it, and the so-called “phantom” that appears. If time permits I will also discuss some generalizations of relevant categorical phenomena.

Language: English


© Steklov Math. Inst. of RAS, 2024