A removable singularities theorem for families for ruled surfaces.
A rigidity theorem for Möbius groups.
A Rigidity Theorem for P3 ( C ).
A Simple Proof of the Subjectivity of the Period Map of K3 Surfaces.
A Theorem of Local-Torelli Type.
A Theorem of Versality for Unfoldings of Complex Analytic Foliation Singularities.
A Theorem on Solutions of Analytic Equations with Applications to Deformations of Complex Structures.
Action of the Grothendieck-Teichmüller group on torsion elements of full Teichmüller modular groups in genus zero
In this paper we establish the action of the Grothendieck-Teichmüller group on the prime order torsion elements of the profinite fundamental group . As an intermediate result, we prove that the conjugacy classes of prime order torsion of are exactly the discrete prime order ones of the .
Addendum to: A foliation of Teichmüller space by twist invariant disks.
Affine coordinates for Teichmüller spaces.
Algebraic Surfaces of General Type with Small ... . II.
Almost complex principal fiber bundles and the complex structure on Teichmüller space.
Ambient Deformations for Exceptional Sets in Two-Manifolds.
An algorithm for finding the Veech group of an origami.
An explicit formula for period determinant
We consider a generic complex polynomial in two variables and a basis in the first homology group of a nonsingular level curve. We take an arbitrary tuple of homogeneous polynomial 1-forms of appropriate degrees so that their integrals over the basic cycles form a square matrix (of multivalued analytic functions of the level value). We give an explicit formula for the determinant of this matrix.
Analytic disks with boundaries in a maximal real submanifold of
Let be a two dimensional totally real submanifold of class in . A continuous map of the closed unit disk into that is holomorphic on the open disk and maps its boundary into is called an analytic disk with boundary in . Given an initial immersed analytic disk with boundary in , we describe the existence and behavior of analytic disks near with boundaries in small perturbations of in terms of the homology class of the closed curve in . We also prove a regularity theorem...
Analytische Erweiterungen von Produkträumen.
Applications of the Kähler-Einstein-Calabi-Yau Metric to Moduli of K3 Surfaces.
Approximate roots of pseudo-Anosov diffeomorphisms
The Root Conjecture predicts that every pseudo-Anosov diffeomorphism of a closed surface has Teichmüller approximate th roots for all . In this paper, we replace the Teichmüller topology by the heights-widths topology – that is induced by convergence of tangent quadratic differentials with respect to both the heights and widths functionals – and show that every pseudo-Anosov diffeomorphism of a closed surface has heights-widths approximate th roots for all .
Arc operads and arc algebras.