Lelong numbers of bidegree (1, 1) currents on multiprojective spaces

Dan Coman, James Heffers

Research output: Contribution to journalArticle

Abstract

Let T be a positive closed current of bidegree (1, 1) on a multiprojective space X=Pn1×⋯×Pnk. For certain values of α, which depend on the cohomology class of T, we show that the set of points of X where the Lelong numbers of T exceed α have certain geometric properties. We also describe the currents T that have the largest possible Lelong number in a given cohomology class, and the set of points where this number is assumed.

Original languageEnglish (US)
JournalMathematische Zeitschrift
DOIs
StateAccepted/In press - Jan 1 2019

Keywords

  • Lelong numbers
  • Plurisubharmonic functions
  • Positive closed currents

ASJC Scopus subject areas

  • Mathematics(all)

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