Stable logarithmic maps to Deligne-Faltings pairs I

• 成果类型: Article
• 署名作者: Chen, Qile
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2014.180.2.2
• 发表日期: 2014
• 页码: 455-521
• 关键词: gromov-witten invariants; algebraic stacks; CURVES; VARIETIES; geometry; MODULI; SPACE

摘要

We introduce a new compactification of the space of relative stable maps. This approach uses logarithmic geometry in the sense of Kato-Fontaine-Illusie without taking expansions of the target. The underlying structures of the stable logarithmic maps are stable in the usual sense.