Regular components of moduli spaces of stable maps

Author:
Gavril Farkas

Journal:
Proc. Amer. Math. Soc. **131** (2003), 2027-2036

MSC (2000):
Primary 14H10

DOI:
https://doi.org/10.1090/S0002-9939-02-06814-4

Published electronically:
November 4, 2002

MathSciNet review:
1963746

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Abstract | References | Similar Articles | Additional Information

Abstract: We construct regular components of the moduli space of stable maps from curves of genus 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 consisting of curves carrying exceptional linear series.

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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

DOI:
https://doi.org/10.1090/S0002-9939-02-06814-4

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

Article copyright:
© Copyright 2002
American Mathematical Society