The singular set of 1-1 integral currents

• 成果类型: Article
• 署名作者: Riviere, Tristan; Tian, Gang
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2009.169.741
• 发表日期: 2009
• 页码: 741-794
• 关键词: epiperimetric inequality; holomorphic-chains; VARIETIES; SURFACES; CURVES; MAPS

摘要

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.