Abstract. We prove two theorems on the removal of singularities on the boundary of a pseudo-holomorphic curve. In one theorem, we need no apriori assumption on the area of the curve. The proof uses a doubling argument with the goal of converting curves with boundary to curves without boundary. Our method is new and geometric and it does not need Sobolev spaces and PDEs. 1
We give an explicit positive answer, in the case of reduced curve singularities, to a question of B....
We show that the metrisability of an oriented projective surface is equivalent to the existence of p...
. We show how one may sometimes perform singular ambient surgery on the complex locus of a real alge...
We give a proof of the theorem of removing isolated singularities of pseudo-holomorphic curves with ...
The abstract boundary singularity theorem was first proven by Ashley and Scott. It links the existen...
A pseudoholomorphic curve, or J-holomorphic curve, is a differentiable map from a Riemann surface to...
Area minimizing surfaces and energy minimizing maps from surfaces into piecewise Euclidean pseudo 3-...
In this article, we present an explicit description of the boundary behavior of the holomorphic curv...
We prove Gromov compactness results for pseudoholomorphic curves (with boundary) following Gromov\u2...
This monograph provides an accessible introduction to the applications of pseudoholomorphic curves i...
International audienceGiven View the MathML source be a germ of codimension-one singular holomorphic...
. The Harnack bound on the number of real components of a plane real algebraic curve has a natural l...
The purpose of this paper is to investigate the geometry of pseudoconvex hypersurfaces and their int...
Click on the DOI link to access the article (may not be free).For a domain D aS, a"e (n) we construc...
Abstract. Yan and Chen proved a weak Cartan-type second main theo-rem for holomorphic curves meeting...
We give an explicit positive answer, in the case of reduced curve singularities, to a question of B....
We show that the metrisability of an oriented projective surface is equivalent to the existence of p...
. We show how one may sometimes perform singular ambient surgery on the complex locus of a real alge...
We give a proof of the theorem of removing isolated singularities of pseudo-holomorphic curves with ...
The abstract boundary singularity theorem was first proven by Ashley and Scott. It links the existen...
A pseudoholomorphic curve, or J-holomorphic curve, is a differentiable map from a Riemann surface to...
Area minimizing surfaces and energy minimizing maps from surfaces into piecewise Euclidean pseudo 3-...
In this article, we present an explicit description of the boundary behavior of the holomorphic curv...
We prove Gromov compactness results for pseudoholomorphic curves (with boundary) following Gromov\u2...
This monograph provides an accessible introduction to the applications of pseudoholomorphic curves i...
International audienceGiven View the MathML source be a germ of codimension-one singular holomorphic...
. The Harnack bound on the number of real components of a plane real algebraic curve has a natural l...
The purpose of this paper is to investigate the geometry of pseudoconvex hypersurfaces and their int...
Click on the DOI link to access the article (may not be free).For a domain D aS, a"e (n) we construc...
Abstract. Yan and Chen proved a weak Cartan-type second main theo-rem for holomorphic curves meeting...
We give an explicit positive answer, in the case of reduced curve singularities, to a question of B....
We show that the metrisability of an oriented projective surface is equivalent to the existence of p...
. We show how one may sometimes perform singular ambient surgery on the complex locus of a real alge...