Newton Okounkov Bodies and Positivity of Line Bundles

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• Victor Lozovanu (University of Milan-Bicocca)
• Wednesday 23 April 2014, 14:15-15:15
• MR 13, CMS.

If you have a question about this talk, please contact Dr. J Ross.

One can associate to a line bundle a convex body, called the Newton-Okounkov body. This is an asymptotic version of the classical Newton polygon associated to a polyno- mial in two variables, introduced by Newton in 1676. The goal of this talk is to give a short introduction to the theory of these convex bodies and explain how positivity properties of a line bundle can be read from the Newton-Okounkov bodies. As a consequence, I will explain the connection between Seshadri constants and Newon-Okounkov bodies.

This talk is part of the Algebraic Geometry Seminar series.

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