Mathematics – Algebraic Geometry
Scientific paper
2006-04-26
Mathematics
Algebraic Geometry
4 pages; final version, to appear in Proc. of AMS
Scientific paper
A conjecture of Pukhlikov states that a smooth Fano variety of dimension at
least four 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 two bundles with fixed determinant of odd degree
on a curve of genus at least three, is not birationally rigid.
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