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Families of rationally connected varieties
Author(s):
Tom
Graber;
Joe
Harris;
Jason
Starr
Journal:
J. Amer. Math. Soc.
16
(2003),
57-67.
MSC (2000):
Primary 14M20, 14D05
Posted:
July 29, 2002
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Abstract:
We prove that every one-parameter family of complex rationally connected varieties has a section.
References:
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- K. Behrend, Gromov-Witten invariants in algebraic geometry, Invent. math. 127 (1997), 601-617. MR 98i:14015
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- [FP]
- W. Fulton, R. Pandharipande, Notes on stable maps and quantum cohomology, 45-96, in Algebraic geometry - Santa Cruz 1995, AMS, 1995. MR 98m:14025
- [GHS]
- T. Graber, J. Harris, J. Starr, A note on Hurwitz schemes of covers of a positive genus curve, preprint alg-geom/0205056.
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- A. Hurwitz, Ueber Riemann'sche Flächen mit gegebenen Verzweigungspunkten, Math. Ann. 39 (1891) 1-61.
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Additional Information:
Tom
Graber
Affiliation:
Department of Mathematics, Harvard University, 1 Oxford Street, Cambridge, Massachusetts 02138
Email:
graber@math.harvard.edu
Joe
Harris
Affiliation:
Department of Mathematics, Harvard University, 1 Oxford Street, Cambridge, Massachusetts 02138
Email:
harris@math.harvard.edu
Jason
Starr
Affiliation:
Department of Mathmatics, Massachusetts Institute of technology, Cambridge, Massachusetts 02139
Email:
jstarr@math.mit.edu
DOI:
10.1090/S0894-0347-02-00402-2
PII:
S 0894-0347(02)00402-2
Received by editor(s):
September 6, 2001
Received by editor(s) in revised form:
May 3, 2002
Posted:
July 29, 2002
Additional Notes:
The first author was partially supported by an NSF Postdoctoral Fellowship.
The second author was partially supported by NSF grant DMS9900025.
The third author was partially supported by a Sloan Dissertation Fellowship.
Copyright of article:
Copyright
2002,
American Mathematical Society
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