Twisted bundles and admissible covers
代数几何
2007-05-23 v1
摘要
The cherry on top of this stacky paper is the following: for any g>1 we give a finite group G such that the moduli space of connected admissible G-covers of genus g is a smooth, fine moduli space, which is a Galois cover of the moduli space of stable curves. The proof relies on methods introduced by Looijenga and Pikaart-De Jong, and on the theory of twisted G-covers, a theory announced without proofs in math.AG/9811059, section 3, and developed in the first few sections of this paper. This includes a moduli description of the normalization of the Harris-Mumford space of admissible covers, and a study of moduli of stable curves with abelian and non-abelian level structure.
引用
@article{arxiv.math/0106211,
title = {Twisted bundles and admissible covers},
author = {Dan Abramovich and Alessio Corti and Angelo Vistoli},
journal= {arXiv preprint arXiv:math/0106211},
year = {2007}
}
备注
36 pages