On a Fermat Equation Arising in the Arithmetic Theory of Function Fields.
On a Galois extension with restricted ramification related to the Selmer group of an elliptic curve with complex multiplication.
On a problem of Dvornicich and Zannier
On a theorem by Kronecker.
On a Theorem of M. Deuring and I.R. Safarevic.
On a tower of Ihara and its limit
On an analogue of a conjecture of Gross.
On Artin-Verdier Duality for Function Fields.
On Chebyshev polynomials and maximal curves
On Davenport's bound for the degree of f³ - g² and Riemann's Existence Theorem
On dihedral algebraic function fields
On elementary equivalence, isomorphism and isogeny
Motivated by recent work of Florian Pop, we study the connections between three notions of equivalence of function fields: isomorphism, elementary equivalence, and the condition that each of a pair of fields can be embedded in the other, which we call isogeny. Some of our results are purely geometric: we give an isogeny classification of Severi-Brauer varieties and quadric surfaces. These results are applied to deduce new instances of “elementary equivalence implies isomorphism”: for all genus zero...
On equations in two S-units over function fields of characteristic 0
On Geometric Zp-Extensions of Function Fields.
On periods and quasi-periods of Drinfeld modules
On places of algebraic function fields.
On Quadratic forms isotropic over the function field of a comic.
On ray class annihilators of cyclotomic function fields
On ruled fields
Some results and problems that arise in connection with the foundations of the theory of ruled and rational field extensions are discussed.
On singular moduli for rank 2 Drinfeld modules