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arXiv · 1409.6286

A virtual fundamental class construction for the moduli space of torus equivariant morphisms

Andrei Mustata
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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.

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Andrei Mustata. 2014-09-22. A virtual fundamental class construction for the moduli space of torus equivariant morphisms. https://arxiv.org/abs/1409.6286

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