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1-motivic sheaves and the Albanese functor


Ayoub, J; Barbieri-Viale, L (2009). 1-motivic sheaves and the Albanese functor. Journal of Pure and Applied Algebra, 213(5):809-839.

Abstract

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.

Abstract

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.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2009
Deposited On:11 Nov 2009 13:40
Last Modified:05 Apr 2016 13:31
Publisher:Elsevier
ISSN:0022-4049
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

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