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- W2608769483 abstract "We prove a reconstruction theorem a la Calabrese-Groechenig for the moduli space parametrizing skyscraper sheaves on a smooth projective variety when these are considered as a system of points in the dg category of perfect complexes on the variety, as axiomatized by Toen and Vaquie. This result is then used to show that, for a cubic fourfold $Ysubset mathbb{P}^5_mathbb{C}$, the Kuznetsov category $mathcal{A}_Y$ is geometric (possibly twisted) if and only if a dg enhancement $T_Y$ of $mathcal{A}_Y$ admits a system of points whose associated moduli space is a (possibly twisted) K3 surface." @default.
- W2608769483 created "2017-05-05" @default.
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- W2608769483 date "2017-02-13" @default.
- W2608769483 modified "2023-09-27" @default.
- W2608769483 title "Dg categories of cubic fourfolds" @default.
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