Moduli spaces of hyperelliptic curves with A and D singularities

We introduce moduli spaces of quasi-admissible hyperelliptic covers with at worst A and D singularities. The stability conditions for these moduli spaces depend on two rational parameters describing allowable singularities. For the extreme values of the parameters, we obtain the stacks of stable lim...

Full description

Saved in:
Bibliographic Details
Published in:Mathematische Zeitschrift 2014-02, Vol.276 (1-2), p.299-328
Main Author: Fedorchuk, Maksym
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We introduce moduli spaces of quasi-admissible hyperelliptic covers with at worst A and D singularities. The stability conditions for these moduli spaces depend on two rational parameters describing allowable singularities. For the extreme values of the parameters, we obtain the stacks of stable limits of A n and D n singularities, and the quotients of the miniversal deformation spaces of these singularities by natural G m -actions. We interpret the intermediate spaces as log canonical models of the stacks of stable limits of A n and D n singularities.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-013-1201-6