Harmonic diffeomorphisms and Teichmüller theory.
Harmonic Maps of the Moduli Space of Compact Riemann Surfaces.
Harmonie Mappings and Kähler Manifolds.
Higgs bundles and local systems
Hilbert-Samuel Polynomials of a Proper Morphism.
Hochschild cohomology of complex spaces and Noetherian schemes.
Hodge-gaussian maps
Holomorphic Conformal Structures and Uniformization of Complex Surfaces.
Holomorphic Families of Open Riemann Surfaces.
Holomorphic Maps of Compact Riemann Surfaces Into 2-Dimensional Compact C-Hyperbolic Manifolds.
Holomorphic vector bundles on
Homogeneous -hypersurface-structures on spheres
Homology of origamis with symmetries
Given an origami (square-tiled surface) with automorphism group , we compute the decomposition of the first homology group of into isotypic -submodules. Through the action of the affine group of on the homology group, we deduce some consequences for the multiplicities of the Lyapunov exponents of the Kontsevich-Zorich cocycle. We also construct and study several families of interesting origamis illustrating our results.
Homotopiegruppen des Modulraumes MIP2 (?l,c2).
Hurwitz analysis: basic concepts and connection with Clifford analysis
Hyperbolic spaces in Teichmüller spaces
We prove, for any , that there is a closed connected orientable surface so that the hyperbolic space almost-isometrically embeds into the Teichmüller space of , with quasi-convex image lying in the thick part. As a consequence, quasi-isometrically embeds in the curve complex of .
Hyperbolic-like manifolds, geometrical properties and holomorphic mappings
The authors are dealing with the Dirichlet integral-type biholomorphic-invariant pseudodistance introduced by Dolbeault and Ławrynowicz (1989) in connection with bordered holomorphic chains of dimension one. Several properties of the related hyperbolic-like manifolds are considered remarking the analogies with and differences from the familiar hyperbolic and Stein manifolds. Likewise several examples are treated in detail.
Hyperelliptic action integral
Applying the “exact WKB method” (cf. Delabaere-Dillinger-Pham) to the stationary one-dimensional Schrödinger equation with polynomial potential, one is led to a multivalued complex action-integral function. This function is a (hyper)elliptic integral; the sheet structure of its Riemann surface above the plane of its values has interesting properties: the projection of its branch-points is in general a dense subset of the plane, and there is a group of symmetries acting on the surface. The distribution...
Hypergeometric periods for a tame polynomial.
Identifying variable points on a smooth curve.