Galois characters associated to formal -modules
Galois descent and cohomology for algebraic groups.
Galois Extensions with Bounded Ramifaction in Characteristic p. On a question of S. Abhyankar.
Galois module structure of generalized jacobians.
For a prime number l and for a finite Galois l-extension of function fields L / K over an algebraically closed field of characteristic p <> l, it is obtained the Galois module structure of the generalized Jacobian associated to L, l and the ramified prime divisors. In the cyclic case an implicit integral representation of the Jacobian is obtained and this representation is compared with the explicit representation.
Galois towers over non-prime finite fields
We construct Galois towers with good asymptotic properties over any non-prime finite field ; that is, we construct sequences of function fields = (N₁ ⊂ N₂ ⊂ ⋯) over of increasing genus, such that all the extensions are Galois extensions and the number of rational places of these function fields grows linearly with the genus. The limits of the towers satisfy the same lower bounds as the best currently known lower bounds for the Ihara constant for non-prime finite fields. Towers with these properties...
Galoissche Kennzeichnung p-adisch abgeschlossener Körper.
Gauss sums and algebraic cycles
Gauss sums for Fq[T].
Genre et genre residuel des corps de fonctions values.
Genre et genre résiduel des corps de fonctions valués
G-fonctions et théorème d'irreductibilite de Hilbert
Global function fields with many rational places over the quinary field. II
Global function fields with many rational places over the ternary field
Greatest prime divisors of polynomial values over function fields
For a function field K and fixed polynomial F ∈ K[x] and varying f ∈ F (under certain restrictions) we give a lower bound for the degree of the greatest prime divisor of F(f) in terms of the height of f, establishing a strong result for the function field analogue of a classical problem in number theory.
Greither's maximal independent system of units in global function fields
Gross’ conjecture for extensions ramified over four points of
In this paper, under a mild hypothesis, we prove a conjecture of Gross for the Stickelberger element of the maximal abelian extension over the rational function field unramified outside a set of four degree-one places.
Group laws and rings with normal bases.