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The Singular Set of 1-1 Integral Currents

Tristan Riviere·Gang Tian
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Abstract

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

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Tristan Riviere, Gang Tian. 2003-10-04. The Singular Set of 1-1 Integral Currents. https://arxiv.org/abs/math/0310052

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