We give a proof of the theorem of removing isolated singularities of pseudo-holomorphic curves with Lagrangian boundary conditions and bounded symplectic area. The proof is a combination of some Lp-type estimates, standard techniques of geometric P.D.E., and some ideas from symplectic geometry and calibration theory.X1130Nsciescopu
A pseudoholomorphic curve, or J-holomorphic curve, is a differentiable map from a Riemann surface to...
. The Harnack bound on the number of real components of a plane real algebraic curve has a natural l...
A complex surface is said to have general type if its canonical bundle is big. The moduli space of s...
Abstract. We prove two theorems on the removal of singularities on the boundary of a pseudo-holomorp...
We exhibit infinitely many, explicit special Lagrangian isolated singularities that admit no asympto...
We exhibit infinitely many, explicit special Lagrangian isolated singularities that admit no asympto...
In this short note, we collect the basic facts of Riemannian geometry necessary for gluing pseu-doho...
26 pages, 2 figuresInternational audienceI first recall the various problems of real enumerative geo...
Abstract. We show that the novel figure eight singularity in a pseudoholomorphic quilt can be contin...
Abstract. The purpose of these notes is a more self-contained presentation of the results of the aut...
This monograph provides an accessible introduction to the applications of pseudoholomorphic curves i...
The abstract boundary singularity theorem was first proven by Ashley and Scott. It links the existen...
We prove Gromov compactness results for pseudoholomorphic curves (with boundary) following Gromov\u2...
This thesis comprises the study of two moduli spaces of piecewise J-holomorphic curves. The main sch...
H−holomorphic curves are solutions of a specific modification of the pseudoholomorphic curve equatio...
A pseudoholomorphic curve, or J-holomorphic curve, is a differentiable map from a Riemann surface to...
. The Harnack bound on the number of real components of a plane real algebraic curve has a natural l...
A complex surface is said to have general type if its canonical bundle is big. The moduli space of s...
Abstract. We prove two theorems on the removal of singularities on the boundary of a pseudo-holomorp...
We exhibit infinitely many, explicit special Lagrangian isolated singularities that admit no asympto...
We exhibit infinitely many, explicit special Lagrangian isolated singularities that admit no asympto...
In this short note, we collect the basic facts of Riemannian geometry necessary for gluing pseu-doho...
26 pages, 2 figuresInternational audienceI first recall the various problems of real enumerative geo...
Abstract. We show that the novel figure eight singularity in a pseudoholomorphic quilt can be contin...
Abstract. The purpose of these notes is a more self-contained presentation of the results of the aut...
This monograph provides an accessible introduction to the applications of pseudoholomorphic curves i...
The abstract boundary singularity theorem was first proven by Ashley and Scott. It links the existen...
We prove Gromov compactness results for pseudoholomorphic curves (with boundary) following Gromov\u2...
This thesis comprises the study of two moduli spaces of piecewise J-holomorphic curves. The main sch...
H−holomorphic curves are solutions of a specific modification of the pseudoholomorphic curve equatio...
A pseudoholomorphic curve, or J-holomorphic curve, is a differentiable map from a Riemann surface to...
. The Harnack bound on the number of real components of a plane real algebraic curve has a natural l...
A complex surface is said to have general type if its canonical bundle is big. The moduli space of s...
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