摘要翻译:
在本系列的三篇论文中,我们开始研究由0属节点曲线组成的叠的有理Chow环,特别是完全确定了由至多3个节点的曲线组成的子叠的有理Chow环。本文首先构造了有理节点曲线的叠层及其节点分层,并证明了从通用曲线到叠层的映射在格式范畴中是不可表示的。
---
英文标题:
《The Stack of Rational Nodal Curves》
---
作者:
Damiano Fulghesu
---
最新提交年份:
2009
---
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:
In this series of three papers we start to investigate the rational Chow ring of the stack consisting of nodal curves of genus 0, in particular we determine completely the rational Chow ring of the substack consisting of curves with at most 3 nodes. In this first paper we construct the stack of rational nodal curves and its stratification by nodes and show that the map from the universal curve to the stack is not representable in the category of schemes.
---
PDF链接:
https://arxiv.org/pdf/0901.1201