Gromov-Witten theory of schemes in mixed characteristic
Algebraic Geometry
2013-02-07 v2
Abstract
We define Gromov-Witten classes and invariants of smooth projective schemes of finite presentation over a Dedekind domain. We prove that they are deformation invariants and verify the fundamental axioms. For a smooth projective scheme over a Dedekind domain, we prove that the invariants of fibers in different characteristics are the same. We show that genus zero Gromov-Witten invariants define a potential which satisfies the WDVV equation and we deduce from this a reconstruction theorem for genus zero Gromov-Witten invariants in arbitrary characteristic.
Keywords
Cite
@article{arxiv.1110.6395,
title = {Gromov-Witten theory of schemes in mixed characteristic},
author = {Flavia Poma},
journal= {arXiv preprint arXiv:1110.6395},
year = {2013}
}
Comments
This paper has been withdrawn by the author because the results have been enhanced and proved in the more general setting of tame Deligne-Mumford stacks in arXiv:1210.2269