Double Points of Plane Models in M_{g,1}
Algebraic Geometry
2011-02-22 v1
Abstract
The aim of this paper is to compute the class of the closure of the effective divisor in M_{6,1} given by pointed curves [C,p] with a sextic plane model mapping p to a double point. Such a divisor generates an extremal ray in the pseudoeffective cone of M_{6,1} as shown by Jensen. A general result on some families of linear series with adjusted Brill-Noether number 0 or -1 is introduced to complete the computation.
Cite
@article{arxiv.1102.4087,
title = {Double Points of Plane Models in M_{g,1}},
author = {Nicola Tarasca},
journal= {arXiv preprint arXiv:1102.4087},
year = {2011}
}