Champs de Hurwitz
Algebraic Geometry
2016-08-14 v1
Abstract
We give a thorough study of Hurwitz stacks both in Galois and non galois case. The construction is applied to revisit somme classical examples, the stack of stable curves equipped with a level structure, and the stacks of tamely ramified cyclic covers. We exhibit some tautological cohomology classes, and give some universal relations between them. Applications are given to Cornalba-Harris type relations, and to some Hurwitz-Hodge integrals.
Keywords
Cite
@article{arxiv.math/0701680,
title = {Champs de Hurwitz},
author = {José Bertin and Matthieu Romagny},
journal= {arXiv preprint arXiv:math/0701680},
year = {2016}
}
Comments
155 pages