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