The singular set of J-holomorphic maps into projective algebraic varieties

Tristan Rivière; Gang Tian

doi:10.1515/crll.2004.034

The singular set of J-holomorphic maps into projective algebraic varieties

Tristan Rivière, Gang Tian

Mathematics

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

We prove that the singular set of any J-holomorphic map from a 4-dimensional almost complex manifold into a projective algebraic variety is made of isolated points.

Original language	English (US)
Pages (from-to)	47-87
Number of pages	41
Journal	Journal fur die Reine und Angewandte Mathematik
Issue number	570
DOIs	https://doi.org/10.1515/crll.2004.034
State	Published - Jan 1 2004

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

Access to Document

10.1515/crll.2004.034

Cite this

@article{2d52621ae5fd416e882165b7a0fe1020,

title = "The singular set of J-holomorphic maps into projective algebraic varieties",

abstract = "We prove that the singular set of any J-holomorphic map from a 4-dimensional almost complex manifold into a projective algebraic variety is made of isolated points.",

author = "Tristan Rivi{\`e}re and Gang Tian",

year = "2004",

month = jan,

day = "1",

doi = "10.1515/crll.2004.034",

language = "English (US)",

pages = "47--87",

journal = "Journal fur die Reine und Angewandte Mathematik",

issn = "0075-4102",

publisher = "Walter de Gruyter GmbH & Co. KG",

number = "570",

}

TY - JOUR

T1 - The singular set of J-holomorphic maps into projective algebraic varieties

AU - Rivière, Tristan

AU - Tian, Gang

PY - 2004/1/1

Y1 - 2004/1/1

N2 - We prove that the singular set of any J-holomorphic map from a 4-dimensional almost complex manifold into a projective algebraic variety is made of isolated points.

AB - We prove that the singular set of any J-holomorphic map from a 4-dimensional almost complex manifold into a projective algebraic variety is made of isolated points.

UR - http://www.scopus.com/inward/record.url?scp=18244429263&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=18244429263&partnerID=8YFLogxK

U2 - 10.1515/crll.2004.034

DO - 10.1515/crll.2004.034

M3 - Article

AN - SCOPUS:18244429263

SN - 0075-4102

SP - 47

EP - 87

JO - Journal fur die Reine und Angewandte Mathematik

JF - Journal fur die Reine und Angewandte Mathematik

IS - 570

ER -

The singular set of J-holomorphic maps into projective algebraic varieties

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this