The Singular Set of 1-1 Integral Currents

Details The Singular Set of 1-1 Integral Currents The Singular Set of 1-1 Integral Currents

2003-10-04

arxiv.org/abs/math/0310052v1

Mathematics

Analysis of PDEs

67 pages

Scientific paper

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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