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Lelong numbers on projective varieties

Rodrigo Parra — 2011

Annales de la faculté des sciences de Toulouse Mathématiques

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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