A note on geodesics in infinite-dimensional Teichmüller spaces.
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 .
Affine coordinates for Teichmüller spaces.
Analytic Geometry on Real Algebraic Curves.
Canonical curves and quadrics of rank 4
Courbes de semi-groupe donné.
Deformations and moduli of Riemann Surfaces with nodes and signatures.
Dynamics in the moduli space of Abelian differentials.
Ein globaler Starrheitssatz für Mumfordkurven.
Eine Anwendung des Satzes von Calabi-Yau auf Familien kompakter komplexer Mannigfaltigkeiten.
Families of Mumford curves
Gap Sequences and Moduli in Genus 4.
Genus 3 normal coverings of the Riemann sphere branched over 4 points.
In this paper we study the 5 families of genus 3 compact Riemann surfaces which are normal coverings of the Riemann sphere branched over 4 points from very different aspects: their moduli spaces, the uniform Belyi functions that factorize through the quotient by the automorphism groups and the Weierstrass points of the non hyperelliptic families.
Half-twists and equations in genus 2.
Hodge-gaussian maps
Holomorphic Conformal Structures and Uniformization of Complex Surfaces.
Identifying variable points on a smooth curve.
Intersection theory on Deligne-Mumford compactifications
Invariants of bi-Lipschitz equivalence of real analytic functions
We construct an invariant of the bi-Lipschitz equivalence of analytic function germs (ℝⁿ,0) → (ℝ,0) that varies continuously in many analytic families. This shows that the bi-Lipschitz equivalence of analytic function germs admits continuous moduli. For a germ f the invariant is given in terms of the leading coefficients of the asymptotic expansions of f along the sets where the size of |x| |grad f(x)| is comparable to the size of |f(x)|.
Invariants polaires de courbes planes.