Stable pair, tropical, and log canonical compactifications of moduli spaces of del Pezzo surfaces

• 成果类型: Article
• 署名作者: Hacking, Paul; Keel, Sean; Tevelev, Jenia
• 署名单位: University of Washington; University of Washington Seattle; University of Texas System; University of Texas Austin; University of Massachusetts System; University of Massachusetts Amherst
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-009-0199-1
• 发表日期: 2009
• 页码: 173-227
• 关键词: n-pointed curves; quotients; geometry; plane; VARIETIES

摘要

We give a functorial normal crossing compactification of the moduli space of smooth cubic surfaces entirely analogous to the Grothendieck-Knudsen compactification M-0,M-n subset of (M-0,M-n) over bar.