Local volumes on normal algebraic varieties
Algebraic Geometry
2011-05-17 v1
Abstract
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.
Cite
@article{arxiv.1105.2981,
title = {Local volumes on normal algebraic varieties},
author = {Mihai Fulger},
journal= {arXiv preprint arXiv:1105.2981},
year = {2011}
}
Comments
43 pages, 2 figures