3 citations · 6 across the 7 of their papers we have counts for
9 papers · 1 filter
On Neron-Raynaud class groups of tori and the Capitulation Problem
Cristian D. Gonzalez-Aviles
We discuss the Capitulation Problem for Neron-Raynaud class groups of tori over global fields F and obtain generalizations of the main results of [10]. We also show that short exac…
Finiteness theorems for algebraic cycles of small codimension on quadric fibrations over curves
Cristian D. González-Avilés
We obtain finiteness theorems for algebraic cycles of small codimension on quadric fibrations X over curves over perfect fields k. For example, if k is finitely generated over Q an…
Chevalley's ambiguous class number formula for an arbitrary torus
Cristian D. Gonzalez-Aviles
This version is a significant improvement of the original paper. It includes a new section where we discuss norm tori in some detail. The new abstract is the following: In this pap…
Arithmetic duality theorems for 1-motives over function fields
Cristian D. Gonzalez-Aviles
In this paper we obtain a Poitou-Tate exact sequence for finite and flat group schemes over a global function field. We also extend the duality theorems for 1-motives over number f…
Algebraic cycles on Severi-Brauer schemes of prime degree over a curve
Cristian D. Gonzalez-Aviles
Let be a perfect field and let be a prime number different from the characteristic of . Let be a smooth, projective and geometrically integral -curve and let …
A generalization of the Cassels-Tate dual exact sequence
Cristian D. Gonzalez-Aviles, Ki-Seng Tan
We extend the well-known Cassels-Tate dual exact sequence for abelian varieties A over global fields K in two directions: we treat the p-primary component in the function field cas…