Offenheit der Versalität in der analytischen Geoemtrie.
On a distance defined by the length spectrum on Teichmüller space.
On a Natural Algebraic Affine Connection on the Space of Almost Complex Structures and the Curvature of Teichmüller Space with Respect to its Weil-Petersson Metric.
On a Purely ?Riemannian" Proof of the Structure and Dimension of the Unramified Moduli Space of a Compact Riemann Surface.
On a subvariety of the moduli space.
We give an explicit description of a non-normal irreducible subvariety of the moduli space of Riemann surfaces of genus 3 characterized by a non-cyclic group action. Defining equations of a family of curves representing non-normal points of this subvariety are computed. We also find defining equations of the family of hyperelliptic curves of genus 3 whose full automorphism group is C2 X C4. This completes the list of full automorphism groups of hyperelliptic curves.
On a volume element of a Hitchin component
Let Σ be a closed oriented Riemann surface of genus at least 2. By using symplectic chain complex, we construct a volume element for a Hitchin component of Hom(π₁(Σ),PSLₙ(ℝ))/PSLₙ(ℝ) for n > 2.
On algebraic curves (of low genus) defined by Kleinian groups
On Deformations and the Local Torelli Problem of Cyclic Branched Coverings.
On Deformations of Compactifiable Complex Manifolds.
On deformations of holomorphic foliations
Given a non-singular holomorphic foliation on a compact manifold we analyze the relationship between the versal spaces and of deformations of as a holomorphic foliation and as a transversely holomorphic foliation respectively. With this purpose, we prove the existence of a versal unfolding of parametrized by an analytic space isomorphic to where is smooth and : is the forgetful map. The map is shown to be an epimorphism in two situations: (i) if , where is the sheaf of...
On Deformations of Holomorphic Maps. III.
On Deformations of Kähler Spaces. I.
On deformations of monomial curves
On Deformations of Quintic Surfaces.
On deformations of transversely holomorphic foliations.
On distortion of a class of analytic functions under a familly of operators
Consider a family of integral operators and a related family of differential operators, both defined on a class of analytic functions holomorphic in the unit disk, distortion properties of the real part are derived from a general aspect.
On families of counting functions of number fields and hyperbolic manifolds of dimensions two and three
On Higher Order Weierstrass Points of the Universal Curve.
On hyper f-structures.
On isomorphisms of Bers fiber spaces.