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- W2039896967 abstract "Building upon our arithmetic duality theorems for 1-motives, we prove that the Manin obstruction related to a finite subquotient Б(X) of the Brauer group is the only obstruction to the Hasse principle for rational points on torsors under semiabelian varieties over a number field, assuming the finiteness of the Tate-Shafarevich group of the abelian quotient. This theorem answers a question by Skorobogatov in the semiabelian case and is a key ingredient of recent work on the elementary obstruction for homogeneous spaces over number fields. We also establish a Cassels-Tate-type dual exact sequence for 1-motives and give an application to weak approximation" @default.
- W2039896967 created "2016-06-24" @default.
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- W2039896967 date "2008-06-15" @default.
- W2039896967 modified "2023-10-03" @default.
- W2039896967 title "Local-global principles for 1-motives" @default.
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- W2039896967 doi "https://doi.org/10.1215/00127094-2008-028" @default.
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