摘要翻译:
Clemens和Griffiths的一个众所周知的结果说,光滑的三重立方可以从它的中间雅可比恢复。本文讨论了这些Abel变体的可能退化,并由此给出了用这种方法得到的三次三次模空间的紧致性的描述。本文还讨论了这种紧致性与Allcock-Carlson-Toledo和Looijenga-Swierstra等人所构造的紧致性之间的关系,这种紧致性与低亏格曲线模空间的各种紧致性之间的关系在精神上是相似的。
---
英文标题:
《The moduli space of cubic threefolds via degenerations of the
intermediate Jacobian》
---
作者:
Sebastian Casalaina-Martin and Radu Laza
---
最新提交年份:
2012
---
分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
--
---
英文摘要:
A well known result of Clemens and Griffiths says that a smooth cubic threefold can be recovered from its intermediate Jacobian. In this paper we discuss the possible degenerations of these abelian varieties, and thus give a description of the compactification of the moduli space of cubic threefolds obtained in this way. The relation between this compactification and those constructed in the work of Allcock-Carlson-Toledo and Looijenga-Swierstra is also considered, and is similar in spirit to the relation between the various compactifications of the moduli spaces of low genus curves.
---
PDF链接:
https://arxiv.org/pdf/0710.5329