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math.NT2007★ 1 cited
Local-global principles for 1-motives
David Harari, Tamas Szamuely
Building upon our arithmetic duality theorems for 1-motives, we prove that the Manin obstruction related to a finite subquotient $\Be (X)$ of the Brauer group is the only obstructi…
math.NT2003
Arithmetic Duality Theorems for 1-Motives
David Harari, Tamas Szamuely
We prove several duality theorems for the Galois and etale cohomology of 1-motives defined over local and global fields and establish a 12-term Poitou-Tate type exact sequence. The…