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Back to Algebraic Geometry Seminar: Spring 2014

Algebraic Geometry Seminar


Date: Tuesday, Apr 8, 2014

Time: 3:30PM - 4:30PM

Location: LCB 215


Joonyeong Won

KIAS (Korea)

Title

Cylinders in del Pezzo surfaces

Abstract

Let (X,H) be a ample polarization of a projective variety X. An H-polar cylinder in X is an open affine cylinder-like set whose complement is a support of an effective Q-divisor Q-rationally equivalent to H. This notion relates affine, birational and Kaehler geometry. we will show how to construct cylinders and to prove non-existence of them in smooth and mildly singular del Pezzo surfaces This is an extended answer of an question of Zaidenberg and Flenner in 2003. This is a joint work with I.Cheltsov and J.Park.

Algebraic Geometry

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