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Ayoub, J; Barbieri-Viale, L (2009). 1-motivic sheaves and the Albanese functor. Journal of Pure and Applied Algebra, 213(5):809-839.
Using sheaf theoretic methods, we define functors View the MathML source and View the MathML source. The functor View the MathML source extends the one in [L. Barbieri-Viale, B. Kahn, On the derived category of 1-motives, I. Prépublication Mathématique de l’IHÉS (M/07/22), June 2007, 144 pages] to non-necessarily geometric motives. These functors are then used to define higher Néron–Severi groups and higher Albanese sheaves.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Algebra and Number Theory |
| Language: | English |
| Date: | 2009 |
| Deposited On: | 11 Nov 2009 13:40 |
| Last Modified: | 03 Sep 2024 01:38 |
| Publisher: | Elsevier |
| ISSN: | 0022-4049 |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1016/j.jpaa.2008.10.002 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=2494373 http://arxiv.org/abs/math/0607738v2 |
Ayoub, J