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- W3207519763 abstract "Let $S$ be a smooth projective surface, and $hat{S}$ be its blow-up at a point. In this paper, we study the derived category of the Hilbert scheme of points on the blow-up $hat{S}$. We obtain a semi-orthogonal decomposition consisting of the derived categories of the Hilbert schemes on the original surface $S$, which recovers the blow-up formula for the Euler characteristics obtained by Gottsche and Nakajima-Yoshioka. The proof uses the Quot formula, which was conjectured by Jiang and recently proved by Toda." @default.
- W3207519763 created "2021-10-25" @default.
- W3207519763 creator A5075967426 @default.
- W3207519763 date "2021-10-15" @default.
- W3207519763 modified "2023-10-16" @default.
- W3207519763 title "Categorical blow-up formula for Hilbert schemes of points" @default.
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- W3207519763 doi "https://doi.org/10.48550/arxiv.2110.08315" @default.
- W3207519763 hasPublicationYear "2021" @default.
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