Graduate Seminar
Rigidity of Mori cone for Fano manifolds
Jarek Wisniewski (Warsaw)
2 Nov 2008, 13:30
Freie Universitaet Berlin
Institut fuer Mathematik
Arnimallee 3, Rm. 119
Last year, during the American Institute of Mathematics workshop on rational curves, a question was raised about rigidity of the Mori cone under deformation of Fano manifolds (question 0.7 at http://www.aimath.org/WWN/rationalcurves/rationalcurves.pdf). The answer follows easily from my (apparently un-noticed) '91 paper (Duke Math Journal 64) in which fiber-locus inequality for Fano-Mori contractions is played against Hard Lefschetz Theorem in order to prove rigidity of nef values (or thresholds). I will recall that old paper and derive some new corollaries.
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