Kuennemann, Klaus (2001) Height pairings for algebraic cycles on Abelian varieties. ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 34 (4). pp. 503-523. ISSN 0012-9593
Full text not available from this repository. (Request a copy)Abstract
Beilinson and Bloch have given conditional constructions of height pairings between algebraic cycles on smooth projective varieties over number fields. These pairings generalize the classical Neron-Tate height pairing between divisors and zero-cycles and give conjecturally a description of the behavior of motivic L-functions near the central point. We give an unconditional construction of height pairings for algebraic cycles on abelian varieties. This improves a previous result where we have defined height pairings on abelian varieties which have totally degenerate reduction at all places of bad reduction. Our construction is based on the existence of projective regular models for abelian varieties over number fields and on the study of cycles on degenerate fibers in mixed characteristic initiated by Bloch, Gillet, and Soule. (C) 2001 Editions seientifiques et medicales Elsevier SAS.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | INTERSECTION THEORY; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Klaus Künnemann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 21 Dec 2021 07:53 |
| Last Modified: | 21 Dec 2021 07:53 |
| URI: | https://pred.uni-regensburg.de/id/eprint/41267 |
Actions (login required)
 |
View Item |
