The singular set of 1-1 integral currents
Annals of mathematics, Tome 169 (2009) no. 3, pp. 741-794.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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. http://geodesic.mathdoc.fr/articles/10.4007/annals.2009.169.741/

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