15 citations · 25 across the 24 of their papers we have counts for
34 papers
Local duality theorems for commutative algebraic groups
Cristian D. Gonzalez-Aviles
If k is an arbitrary field, we construct a category of k-1-motives in which every commutative algebraic k-group G has a dual object . When k is a local field of arbitrary…
The algebraic Brauer group of a pinched variety
Cristian D. Gonzalez-Aviles
Added lemma provided by Michel Brion. Other (minor) changes. Submitted version. Let k be any field, let X' be a projective and geometrically integral k-scheme and let Y' be a finit…
Brauer groups and Neron class groups
Cristian D. Gonzalez-Aviles
Let K be a global field, let S be a finite set of primes of K containing the archimedean primes and let A be an abelian variety over K. We generalize the duality theorem establishe…
Cokernels of restriction maps and subgroups of norm one, with applications to quadratic Galois coverings
Cristian D. Gonzalez-Aviles
Let f: S' --> S be a finite and faithfully flat morphism of locally noetherian schemes of constant rank n and let G be a smooth, commutative and quasi-projective S-group scheme wit…
The norm map and the capitulation kernel
Cristian D. Gonzalez-Aviles
Let f: S'--> S be a finite and faithfully flat morphism of locally noetherian schemes of constant rank n > 1 and let G be a smooth, commutative and quasi-projective S-group scheme…
Cech cohomology and the Capitulation kernel
Cristian D. Gonzalez-Aviles
We discuss the capitulation kernel associated to a degree n covering using Cech cohomology and the Kummer sequence. The main result is a five-term exact sequence that relates the c…