A criterion for the existence of a flat connection on a parabolic vector bundle.
A geometric approach to the Jacobian Conjecture in ℂ²
We consider polynomial mappings (f,g) of ℂ² with constant nontrivial jacobian. Using the Riemann-Hurwitz relation we prove among other things the following: If g - c (resp. f - c) has at most two branches at infinity for infinitely many numbers c or if f (resp. g) is proper on the level set (resp. ), then (f,g) is bijective.
A note on Weierstrass Points of Bielliptic curves.
A Study of Hasse-Witt Matrices by Local Methods.
About some Riemann surfaces and plane tilings.
Affine plane curves with one place at infinity
In this paper we give a new algebro-geometric proof to the semi-group theorem due to Abhyankar-Moh for the affine plane curves with one place at infinity and its inverse theorem due to Sathaye-Stenerson. The relations between various invariants of these curves are also explained geometrically. Our new proof gives an algorithm to classify the affine plane curves with one place at infinity with given genus by computer.
Arakelov invariants of Riemann surfaces.
Arithmetic and geometry of the curve y³+1=x⁴
Automorphism Groups of Algebraic Function Fields.
Automorphisms of Riemann surfaces with two fixed points
We give an upper bound for the order of an automorphism of a Riemann surface with two fixed points. The main results are presented in Theorems 1.4 and 2.4.
Bemerkung zu der Abhandlung On the theory of Riemann's Integrals" by H. F. Baker. Bd. 45, der Mathem. Annalen
Beweis eines Riemannschen Satzes.
Bounds for stable bundles and degrees of Weierstrass schemes.
Cyclic coverings of an elliptic curve with two branch points and the gap sequences at the ramification points
Dessins d'enfants
Dessins d'enfants: bipartite maps and Galois groups.
Edge operators.
Elementary Albeian p-Extensions of Algebraic Function Fields.
Etale cohomology of henselian rings and cohomology of abstract Riemann surfaces of fields.
Existence, decomposition, and limits of certain Weierstrass points.