Picard group of moduli of hyperelliptic curves
Algebraic Geometry
2018-03-29 v2
Abstract
The main subject of this work is the difference between the coarse moduli space and the stack of hyperelliptic curves. We compute their Picard groups, giving explicit description of the generators. We get an application to the (non-)existence of a tautological family over the coarse moduli space.
Cite
@article{arxiv.math/0609705,
title = {Picard group of moduli of hyperelliptic curves},
author = {Sergey Gorchinskiy and Filippo Viviani},
journal= {arXiv preprint arXiv:math/0609705},
year = {2018}
}
Comments
13 pages. Section 2 has been shortened and the final appendix has been erased. Final version, to appear on Math. Zeit