3 citations · 3 across the 4 of their papers we have counts for
5 papers · 1 filter
On the -invariant of Katz -adic functions attached to imaginary quadratic fields and applications
Hassan Oukhaba, Stéphane Viguié
We extend to and the result of Gillard and Schneps which says that the -invariant of Katz -adic functions attached to imaginary quadratic fields is zero for $…
The -part of the analytic class number formula, for global function fields
Stéphane Viguié
Let F/k be a finite abelian extension of global function fields, totally split at a distinguished place \infty. We prove that a complex Gras conjecture holds for a suitable group o…
Global Units Modulo Elliptic Units and 2-Ideal Class Groups
Stéphane Viguié
Let p\in\{2,3\}, and let k be an imaginary quadratic field in which p decomposes into two distinct primes \mathfrak{p} and \bar{\mathfrak{p}}. Let k_\infty be the unique Z_p-extens…
On Gras conjecture for imaginary quadratic fields
Hassan Oukhaba, Stéphane Viguié
In this paper we extend methods of Rubin to prove the Gras conjecture for abelian extensions of a given imaginary quadratic field k and prime numbers p which divide the number of r…
The Gras conjecture in function fields by Euler systems
Hassan Oukhaba, Stéphane Viguié
We use Euler systems to prove the Gras conjecture for groups generated by Stark units in global function fields. The techniques applied here are classical and go back to Thaine, Ko…