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Title Cylinders in Fano varieties

Posted in
Ivan Cheltsov
Don, 12/12/2013 - 10:30 - 12:00
MPIM Lecture Hall

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.

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