Lelong numbers on projective varieties

2010/11/23 by Manuel Rodrigo Parra, Parra, Manuel Rodrigo
Mathematics · #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #math.AG #math.CV

paper · pdf · doi:10.48550/arxiv.1011.5257

arxiv created 2010/11/23 · arxiv updated 2010/11/25

Abstract

Given a positive closed (1,1)-current T defined on the regular locus of a projective variety X with bounded mass near the singular part of X and Y an irreducible algebraic subset of X, we present uniform estimates for the locus inside Y where the Lelong numbers of T are larger than the generic Lelong number of T along Y.

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