Deligne's conjecture on 1-motives

• 成果类型: Article
• 署名作者: Barbieri-Viale, L; Rosenschon, A; Saito, M
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2003.158.593
• 发表日期: 2003
• 页码: 593-633
• 关键词: hodge; extension; THEOREM

摘要

We reformulate a conjecture of Deligne on 1-motives by using the integral weight filtration of Gillet and Soule on cohomology, and prove it. This implies the original conjecture up to isogeny. If the degree of cohomology is at most two, we can prove the conjecture for the Hodge realization without isogeny, and even for 1-motives with torsion.