A virtual fundamental class construction for the moduli space of torus equivariant morphisms
Algebraic Geometry
2015-05-12 v3
Abstract
Let X be a smooth projective variety with the action of the n dimensional torus. The article describes the moduli space of torus equivariant morphisms from stable toric varieties into X as the inverse limit of the GIT quotients of X and their flips when these spaces are enhanced with a naturally associated Deligne-Mumford stack structure. This description is used for constructing a class in the Chow group of the moduli space of dimension dim(X)-n which is invariant to equivariant deformations of X.
Keywords
Cite
@article{arxiv.1409.6286,
title = {A virtual fundamental class construction for the moduli space of torus equivariant morphisms},
author = {Andrei Mustata},
journal= {arXiv preprint arXiv:1409.6286},
year = {2015}
}