Local Volumes.

[摘要] In the present thesis we study a notion of local 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 of Wahl on surfaces. We also compare this volume of isolated singularities to a different generalization due to Boucksom, de Fernex, and Favre.

[发布机构] University of Michigan

[效力级别] Asymptotic Invariants

[关键词] Isolated Singularities;Asymptotic Invariants;Mathematics;Science;Mathematics