Arithmetic duality theorems for 1-motives
By D. Harari, Tam'as Szamuely. 2003
69 citations recorded by the source corpus.
Abstract The argument for proving Corollary 3.5 is insufficient; we fill in the gap here. Also, the first two statements of Proposition 4.1 may not be true in general in the case i = 1, but for the main results it suffices to use them over a sufficiently small U, where they hold. These results are used in the proof of Theorem 0.2, but its statement remains unchanged in the crucial case i = 1; in the (uninteresting) case i = 0 it needs to be modified slightly. We also correct a few other minor inaccuracies.
Subfields: Geometry and Topology, Mathematical Physics, Theoretical Computer Science
View Paper: https://www.semanticscholar.org/paper/dbc05be260a0ffa4ae7a9bae126ab81931360508
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Manin obstruction to strong approximation for homogeneous spaces (2009, background): “MS ) its Cartier dual (see [25], Section 1 page 97 for the definition of the Cartier dual of a 1-motive).”