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Title Cylinders in Fano varieties

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Ivan Cheltsov (Edinburgh) - Seminar Algebraic Geometry (SAG)

  • Seminar
When Dec 12, 2013
from 10:30 am to 11:30 am
Where Bonn, Hörsaal MPI, Vivatsgasse 7
Contact Name sachinid
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A cylinder in a Fano variety is an open ruled affine subset whose complement is a support of an effective anticanonical Q-divisor. This notion links together affine, birational and Kahler geometries. I prove existence and non-existence of cylinders in smooth and mildly singular (with at most du Val singularities) del Pezzo surfaces. In particular, I will answer an old question of Zaidenberg and Flenner about additive group actions on the cubic Fermat affine threefold cone. This is a joint work with Martinez-Garcia, Park and Won.