Viale, Luca Barbieri ; Srinivas, Vasudevan (1998) Albanese and Picard 1-motives Comptes Rendus de l'Academie des Sciences - Series I - Mathematics, 326 (12). pp. 1397-1401. ISSN 0764-4442
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/S0764-4442(98)80399-6
Abstract
We define, in a purely algebraic way, 1-motives Alb+(X), Alb-(X), Pic+(X), and Pic-(X) associated with any algebraic scheme X over an algebraically closed field of characteristic zero. For X over C of dimension n, the Hodge realizations are, respectively, H2n - 1 (X, Z(n))/(torsion), H1 (X, Z)/(torsion), H1 (X, Z(1)), and H2n - 1 (X, Z(1 n))/(torsion).
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 58968 |
| Deposited On: | 02 Sep 2011 03:04 |
| Last Modified: | 02 Sep 2011 03:04 |
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