Inegalite relative des genres.
Integral points of abelian varieties over function fields of characteristic zero.
Integrale zweiter Gattung auf Mumfordkurven.
Inversion of Abelian Integrals on Small Genus Curves.
Kummertheorie reeller Funktionenkörper einer Variablen.
Kurven mit rationaler Abbildung.
Lang’s conjecture in characteristic : an explicit bound
Lang's Conjectures, Fibered Powers, and Uniformity.
Local-global principle for Witt equivalence of function fields over global fields
We examine the conditions for two algebraic function fields over global fields to be Witt equivalent. We develop a criterion solving the problem which is analogous to the local-global principle for Witt equivalence of global fields obtained by R. Perlis, K. Szymiczek, P. E. Conner and R. Litherland [12]. Subsequently, we derive some immediate consequences of this result. In particular we show that Witt equivalence of algebraic function fields (that have rational places) over global fields implies...
Lokal-Global-Prinzipien für die Brauergruppe.
Lower bounds on the class number of algebraic function fields defined over any finite field
We give lower bounds on the number of effective divisors of degree with respect to the number of places of certain degrees of an algebraic function field of genus defined over a finite field. We deduce lower bounds for the class number which improve the Lachaud - Martin-Deschamps bounds and asymptotically reaches the Tsfasman-Vladut bounds. We give examples of towers of algebraic function fields having a large class number.
Matching local Witt invariants
The starting point of this note is the observation that the local condition used in the notion of a Hilbert-symbol equivalence and a quaternion-symbol equivalence — once it is expressed in terms of the Witt invariant — admits a natural generalisation. In this paper we show that for global function fields as well as the formally real function fields over a real closed field all the resulting equivalences coincide.
Meromorphe Funktionen auf Mumfords Kompaktifizierung der universellen elliptischen Kurve N-ter Stufe.
Nets, -sequences, and algebraic curves over finite fields with many rational points.
Noch eine Begründung der Theorie der höheren Differentialquotienten in einem algebraischen Funktionenkörper einer Unbestimmten. (Nach einer brieflichen Mitteilung von F.K. Schmidt in Jena).
Non-conservative function fields of genus (p + 1) /2.
Nonstandard arithmetic of function fields over H-convex subfields of *Q.
Notions relatives de régulateurs et de hauteurs
Null Class Groups of Algebraic Function Fields.
On a Galois extension with restricted ramification related to the Selmer group of an elliptic curve with complex multiplication.