Local volumes on normal algebraic varieties

Details Local volumes on normal algebraic varieties Local volumes on normal algebraic varieties

2011-05-16

arxiv.org/abs/1105.2981v1

Mathematics

Algebraic Geometry

43 pages, 2 figures

Scientific paper

In this paper we study a notion of volume for Cartier divisors on arbitrary blow-ups of normal complex algebraic varieties of dimension greater than one, with a distinguished point. We apply this to study a volume for normal isolated singularities, generalizing work on surfaces done by Wahl. We also compare this volume of isolated singularities to a different generalization due to Boucksom, de Fernex and Favre.

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