Non-quasi-projective moduli spaces

• 成果类型: Article
• 署名作者: Kollar, Janos
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2006.164.1077
• 发表日期: 2006
• 页码: 1077-1096
• 关键词: threefolds

摘要

We show that every smooth toric variety (and many other algebraic spaces as well) can be realized as a moduli space for smooth, projective, polarized varieties. Some of these are not quasi-projective. This contradicts a recent paper (Quasi-projectivity of moduli spaces of polarized varieties, Ann. of Math. 159 (2004) 597-639.).