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Back to Algebraic Geometry Seminar: Spring 2011

Algebraic Geometry Seminar


Date: Tuesday, Mar 8, 2011

Time: 3:30PM - 4:30PM

Location: LCB 323


Mihai Fulger

Univ. of Michigan

Title

Local volumes

Abstract

Given a normal variety X of dimension at least two, we fix a point x on it and define a volume over x for any Cartier divisor on an arbitrary birational model dominating X. This volume function can be used to define and study a notion of volume for a normal isolated singularity that is a generalization of a volume introduced by J. Wahl for surface singularities. We also compare our volume of isolated singularities to a different recent generalization of Wahl’s work, as introduced by S.Boucksom, T. de Fernex and C. Favre.

Algebraic Geometry

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