A concept of Bernoulli numbers in algebraic function fields.
A Concept of Bernoulli Numbers in Algebraic Function Fields (II).
A criterion for rational places over local fields.
A dynamical system connected with inhomogeneous 6-vertex model
A generating function for fatgraphs
A Higher Dimensional Analogue of Mordell's Conjecture Over Function Fields.
A note on 2-dimensional arithmetic symbols on Gl(n, ΣS).
The aim of this note is to offer a summary of the definitions and properties of arithmetic symbols on the linear group Gl(n, F) -F being an arbitrary discrete valuation field- and to show that the natural generalizations of the Parshin symbol on an algebraic surface S to the linear group Gl(n, ΣS) do not allow us to define new 2-dimensional symbols on S.[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].
A note on the one-dimensional systems of formal equations
On this paper we compute the numerical function of the approximation theorem of M. Artin for the one-dimensional systems of formal equations.
A really elementary proof of real Lüroth's theorem.
Classical Lüroth theorem states that every subfield K of K(t), where t is a transcendental element over K, such that K strictly contains K, must be K = K(h(t)), for some non constant element h(t) in K(t). Therefore, K is K-isomorphic to K(t). This result can be proved with elementary algebraic techniques, and therefore it is usually included in basic courses on field theory or algebraic curves. In this paper we study the validity of this result under weaker assumptions: namely, if K is a subfield...
A remark on Abel's Theorem and the mapping of linear series.
A Six Exponentials Theorem in Finite Characteristic.
A Study of Hasse-Witt Matrices by Local Methods.
About the Witt rings of function fields of algebroid quadratic quasihomogeneous surfaces.
Addendum : Propriétés de descente des variétés à fibré cotangent ample
Algebraic function fields with equal class number
Algebraische Untersuchungen über den Riemann-Roch'schen Satz
An Application of a Theorem of Deuring and Safarevic.
An Equivariant Lefschetz Formula for Finite Reductive Groups.
An expression for the superposition of general algebraic functions in terms of hypergeometric series.
An Integral Criterion for the Equivalence of Plane Curves.