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Regular components of moduli spaces of stable maps

Gavril Farkas
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Abstract

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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Gavril Farkas. 2002-05-13. Regular components of moduli spaces of stable maps. https://arxiv.org/abs/math/0010001

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