Virtual classes of $\mathbb{G}_\text{m}$-gerbes
Algebraic Geometry
2020-09-22 v2
Abstract
We show that a perfect obstruction theory for a -gerbe determines a semi-perfect obstruction theory for its base, which is perfect if the gerbe is quasi-compact and affine-pointed. These results streamline the construction of a semi-perfect obstruction theory for the base, and allow us to relate virtual classes of the gerbe and its base.
Cite
@article{arxiv.1905.06830,
title = {Virtual classes of $\mathbb{G}_\text{m}$-gerbes},
author = {F. Qu},
journal= {arXiv preprint arXiv:1905.06830},
year = {2020}
}
Comments
10 pages