Regular components of moduli spaces of stable maps

Details Regular components of moduli spaces of stable maps Regular components of moduli spaces of stable maps

2000-09-30

arxiv.org/abs/math/0010001v2

Proceedings AMS 131 (2003), 2027-2037.

Mathematics

Algebraic Geometry

11 pages, final version

Scientific paper

A component of the moduli space M_g(Y,b) of stable maps from genus g curves to a variety Y is said to be regular if it is generically smooth and of the expected dimension provided by deformation theory. In this note we prove existence of regular components of M_g(Y,b) when Y is a product of projective spaces. This result can also be seen as a general position theorem for Brill-Noether loci in M_g.

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