Geodesic
The singular set of 1-1 integral currents
Tristan Rivière1 ; Gang Tian2
1Department of Mathematics<br/>ETH Zentrum<br/>8092 Zürich <br/>Switzerland
2Department of Mathematics<br/>Princeton University<br/>Princeton, NJ 08544<br/>United States
Annals of mathematics, Tome 169 (2009) no. 3, pp. 741-794
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We prove that $2$ dimensional integer multiplicity $2$ dimensional rectifiable 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.

DOI : 10.4007/annals.2009.169.741

Tristan Rivière  1   ; Gang Tian  2

1 Department of Mathematics<br/>ETH Zentrum<br/>8092 Zürich <br/>Switzerland
2 Department of Mathematics<br/>Princeton University<br/>Princeton, NJ 08544<br/>United States 
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Tristan Rivière; Gang Tian. The singular set of 1-1 integral currents. Annals of mathematics, Tome 169 (2009) no. 3, pp. 741-794. doi: 10.4007/annals.2009.169.741

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