The singular set of 1-1 integral currents

Tristan Rivière; Gang Tian

doi:10.4007/annals.2009.169.741

The singular set of 1-1 integral currents

Tristan Rivière, Gang Tian

Mathematics

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

24 Scopus citations

Abstract

We prove that 2 dimensional integer multiplicity 2 dimensional rectiable currents which are almost complex cycles in an almost complex manifold admitting locally a compatible positive symplectic form are smooth surfaces aside from isolated points and therefore are J-holomorphic curves.

Original language	English (US)
Pages (from-to)	741-794
Number of pages	54
Journal	Annals of Mathematics
Volume	169
Issue number	3
DOIs	https://doi.org/10.4007/annals.2009.169.741
State	Published - 2009

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

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10.4007/annals.2009.169.741

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title = "The singular set of 1-1 integral currents",

abstract = "We prove that 2 dimensional integer multiplicity 2 dimensional rectiable currents which are almost complex cycles in an almost complex manifold admitting locally a compatible positive symplectic form are smooth surfaces aside from isolated points and therefore are J-holomorphic curves.",

author = "Tristan Rivi{\`e}re and Gang Tian",

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The singular set of 1-1 integral currents

Abstract

All Science Journal Classification (ASJC) codes

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