The Singular Set of 1-1 Integral Currents
Analysis of PDEs
2007-05-23 v1 Differential Geometry
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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Cite
@article{arxiv.math/0310052,
title = {The Singular Set of 1-1 Integral Currents},
author = {Tristan Riviere and Gang Tian},
journal= {arXiv preprint arXiv:math/0310052},
year = {2007}
}
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67 pages