Moduli of nodal curves on smooth surfaces of general type
Algebraic Geometry
2007-05-23 v1
Abstract
In this paper we focus on the problem of computing the number of moduli of the so called Severi varieties (denoted by V(|D|, \delta)), which parametrize universal families of irreducible, \delta-nodal curves in a complete linear system |D|, on a smooth projective surface S of general type. We determine geometrical and numerical conditions on D and numerical conditions on \delta ensuring that such number coincides with dim(V(|D|, \delta). As related facts, we also determines some sharp results concerning the geometry of some Severi varieties.
Cite
@article{arxiv.math/0103205,
title = {Moduli of nodal curves on smooth surfaces of general type},
author = {F. Flamini},
journal= {arXiv preprint arXiv:math/0103205},
year = {2007}
}
Comments
Latex2e, 27 pages