Desingulization of Quasi-smooth Derived Schemes and Virtual Fundamental Classes

Yu Zhao

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arXiv · 2303.03823

Desingulization of Quasi-smooth Derived Schemes and Virtual Fundamental Classes

Yu Zhao

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Abstract

We prove a desingularization theorem for the quasi-smooth derived scheme, in the sense of Hekking. We also propose the conjecture that the K-theoretic integration of the virtual fundamental class of a quasi-smooth derived scheme could be explained as the K-theoretic integration of wedge powers of non-negative rank perfect complexes with Tor-amplitude [0,1] over smooth schemes.

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Yu Zhao. 2023-03-07. Desingulization of Quasi-smooth Derived Schemes and Virtual Fundamental Classes. https://arxiv.org/abs/2303.03823

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