Moduli of nodal curves on smooth surfaces of general type

F. Flamini

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arXiv · math/0103205

Moduli of nodal curves on smooth surfaces of general type

F. Flamini

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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|, δ)), which parametrize universal families of irreducible, δ-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 δensuring that such number coincides with dim(V(|D|, δ). As related facts, we also determines some sharp results concerning the geometry of some Severi varieties.

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BibTeX RIS

F. Flamini. 2001-03-29. Moduli of nodal curves on smooth surfaces of general type. https://arxiv.org/abs/math/0103205

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