Cylinders in Fano varieties

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• Ivan Cheltsov (Edinburgh)
• Friday 17 January 2014, 14:15-15:15
• MR 13, CMS.

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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 will show how to prove existence and non-existence of cylinders in smooth and mildly singular 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 Park and Won.

This talk is part of the Algebraic Geometry Seminar series.

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