| Softcover ISBN: | 978-2-85629-837-4 |
| Product Code: | AST/381 |
| List Price: | $75.00 |
| AMS Member Price: | $60.00 |
| Softcover ISBN: | 978-2-85629-837-4 |
| Product Code: | AST/381 |
| List Price: | $75.00 |
| AMS Member Price: | $60.00 |
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Book DetailsAstérisqueVolume: 381; 2016; 254 ppMSC: Primary 19; 14; 18
The authors embed the derived category of Deligne 1-motives over a perfect field into the étale version of Voevodsky's triangulated category of geometric motives after inverting the exponential characteristic. They then show that this full embedding “almost” has a left adjoint LAlb. Applying LAlb to the motive of a variety, the authors get a bounded complex of 1-motives that they compute fully for smooth varieties and partly for singular varieties. Among applications, the authors give motivic proofs of Roitman type theorems and new cases of Deligne's conjectures on 1-motives.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
ReadershipGraduate students and research mathematicians interested in geometric motives.
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The authors embed the derived category of Deligne 1-motives over a perfect field into the étale version of Voevodsky's triangulated category of geometric motives after inverting the exponential characteristic. They then show that this full embedding “almost” has a left adjoint LAlb. Applying LAlb to the motive of a variety, the authors get a bounded complex of 1-motives that they compute fully for smooth varieties and partly for singular varieties. Among applications, the authors give motivic proofs of Roitman type theorems and new cases of Deligne's conjectures on 1-motives.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Graduate students and research mathematicians interested in geometric motives.
