Regular components of moduli spaces of stable maps

Farkas, Gavril

doi:10.1090/S0002-9939-02-06814-4

Regular components of moduli spaces of stable maps
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Proc. Amer. Math. Soc. 131 (2003), 2027-2036 Request permission

Abstract:

We construct regular components of the moduli space of stable maps from curves of genus $g$ to a product of two projective spaces. These components are generically smooth and have the expected dimension predicted by deformation theory. This result can be seen as a general position theorem for loci in $M_g$ consisting of curves carrying exceptional linear series.

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