Geometric properties of upper level sets of Lelong numbers on projective spaces

Dan Coman; Tuyen Trung Truong

doi:10.1007/s00208-014-1094-7

Geometric properties of upper level sets of Lelong numbers on projective spaces

Dan Coman, Tuyen Trung Truong

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Let (Formula presented.) be a positive closed current of unit mass on the complex projective space (Formula presented.). For certain values (Formula presented.), we prove geometric properties of the set of points in (Formula presented.) where the Lelong number of (Formula presented.) exceeds (Formula presented.). We also consider the case of positive closed currents of bidimension (1,1) on multiprojective spaces.

Original language	English (US)
Pages (from-to)	981-994
Number of pages	14
Journal	Mathematische Annalen
Volume	361
Issue number	3-4
DOIs	https://doi.org/10.1007/s00208-014-1094-7
State	Published - Apr 2015

Keywords

32U40
Primary 32U25
Secondary 32U05

ASJC Scopus subject areas

General Mathematics

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10.1007/s00208-014-1094-7

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abstract = "Let (Formula presented.) be a positive closed current of unit mass on the complex projective space (Formula presented.). For certain values (Formula presented.), we prove geometric properties of the set of points in (Formula presented.) where the Lelong number of (Formula presented.) exceeds (Formula presented.). We also consider the case of positive closed currents of bidimension (1,1) on multiprojective spaces.",

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AB - Let (Formula presented.) be a positive closed current of unit mass on the complex projective space (Formula presented.). For certain values (Formula presented.), we prove geometric properties of the set of points in (Formula presented.) where the Lelong number of (Formula presented.) exceeds (Formula presented.). We also consider the case of positive closed currents of bidimension (1,1) on multiprojective spaces.

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KW - Primary 32U25

KW - Secondary 32U05

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ER -

Geometric properties of upper level sets of Lelong numbers on projective spaces

Abstract

Keywords

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