Desingulization of Quasi-smooth Derived Schemes and Virtual Fundamental Classes
Algebraic Geometry
2023-06-21 v2
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.
Keywords
Cite
@article{arxiv.2303.03823,
title = {Desingulization of Quasi-smooth Derived Schemes and Virtual Fundamental Classes},
author = {Yu Zhao},
journal= {arXiv preprint arXiv:2303.03823},
year = {2023}
}
Comments
The paper has been superseded by arXiv:2306.09672