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- W3197456411 abstract "We describe in terms of spherical twists the Serre functors of many interesting semiorthogonal components, called residual categories, of the derived categories of projective varieties. In particular, we show the residual categories of Fano complete intersections are fractional Calabi--Yau up to a power of an explicit spherical twist. As applications, we compute the Serre dimensions of residual categories of Fano complete intersections, thereby proving a corrected version of a conjecture of Katzarkov and Kontsevich, and deduce the nonexistence of Serre invariant stability conditions when the degrees of the complete intersection do not all coincide." @default.
- W3197456411 created "2021-09-13" @default.
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- W3197456411 date "2021-09-05" @default.
- W3197456411 modified "2023-09-27" @default.
- W3197456411 title "Serre functors and dimensions of residual categories" @default.
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