## Regular components of moduli spaces of stable maps

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## 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.## References

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## Additional Information

**Gavril Farkas**- Affiliation: Department of Mathematics, University of Michigan, East Hall, 525 East University Avenue, Ann Arbor, Michigan 48109-1109
- Email: gfarkas@umich.edu
- Received by editor(s): October 18, 2000
- Received by editor(s) in revised form: February 26, 2002
- Published electronically: November 4, 2002
- Communicated by: Michael Stillman
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**131**(2003), 2027-2036 - MSC (2000): Primary 14H10
- DOI: https://doi.org/10.1090/S0002-9939-02-06814-4
- MathSciNet review: 1963746