The generic Green-Lazarsfeld Secant Conjecture

• 成果类型: Article
• 署名作者: Farkas, Gavril; Kemeny, Michael
• 署名单位: Humboldt University of Berlin
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-015-0595-7
• 发表日期: 2016
• 页码: 265-301
• 关键词: syzygy conjecture; brill-noether; linear series; MODULI SPACES; CURVES; divisors

摘要

Using lattice theory on special surfaces, calculations on moduli stacks of pointed curves and Voisin's proof of Green's Conjecture on syzygies of canonical curves, we prove the Prym-Green Conjecture on the naturality of the resolution of a general Prym-canonical curve of odd genus, as well as (many cases of) the Green-Lazarsfeld Secant Conjecture on syzygies of non-special line bundles on general curves.