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Proceedings of the American Mathematical Society
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Examples of Fano varieties of index one that are not birationally rigid

Author(s): Ana-Maria Castravet
Journal: Proc. Amer. Math. Soc. 135 (2007), 3783-3788.
MSC (2000): Primary 14E07; Secondary 14H60
Posted: September 12, 2007
MathSciNet review: 2341927
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Abstract: A conjecture of Pukhlikov states that a smooth Fano variety of dimension at least 4 and index one is birationally rigid. We show that a general member of the linear system given by the ample generator of the Picard group of the moduli space of stable, rank 2 bundles with fixed determinant of odd degree on a curve of genus at least 3 is not birationally rigid.

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Additional Information:

Ana-Maria Castravet
Affiliation: Department of Mathematics, University of Texas at Austin, Austin, Texas 78712
Address at time of publication: Department of Mathematics, University of Massachusetts, Amherst, Massachusetts 01003
Email: noni@math.utexas.edu, noni@math.umass.edu

DOI: 10.1090/S0002-9939-07-08948-4
PII: S 0002-9939(07)08948-4
Received by editor(s): May 5, 2006
Received by editor(s) in revised form: September 17, 2006
Posted: September 12, 2007
Communicated by: Ted Chinburg
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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