Characterizing Jacobians via trisecants of the Kummer variety

• 成果类型: Article
• 署名作者: Krichever, Igor
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2010.172.485
• 发表日期: 2010
• 页码: 485-516
• 关键词: equations; conjecture; PROOF

摘要

We prove Welters' trisecant conjecture: an indecomposable principally polarized abelian variety X is the Jacobian of a curve if and only if there exists a trisecant of its Kummer variety K(X).