3 citations · 3 across the 3 of their papers we have counts for
5 papers
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 …
Finite modules over non-semisimple group rings
Cristian D. Gonzalez-Aviles
Let be an abelian group of order and let be a commutative ring which admits a homomorphism ${\Bbb Z}[ζ_{n}]\ra R$, where is a (complex) primitive -th root of…
Brauer groups and Tate-Shafarevich groups
Cristian D. Gonzalez-Aviles
Let X_K be a proper, smooth and geometrically connected curve over a global field K. In this paper we generalize a formula of Milne relating the order of the Tate-Shafarevich group…