VERONESE QUOTIENT MODELS OF M0;n AND CONFORMAL BLOCKS
VERONESE QUOTIENT MODELS OF M0;n AND CONFORMAL BLOCKS
复制标题
DOI：
10.1307/mmj/1387226162
复制
发表时间：
2013-12
影响因子：
0.9
通讯作者：
A. Gibney;D. Jensen;Han-Bom Moon;David Swinarski
中科院分区：
文献类型：
--
作者：
A. Gibney;D. Jensen;Han-Bom Moon;David Swinarski
Deligne-Mumford 稳定的 n 点有理曲线的模空间 M0;n 允许态射到由 Giansiracusa、Jensen 和 Moon 最近构建的空间，我们称之为维罗内斯商。我们研究了与这些映射相关的 M0;n 上的除数，并表明这些除数是作为共角块向量丛的第一陈类而出现的。 0;n 从 M0;n 接收态射。从 Mori 理论的角度来看，这相当于描述 M0;n 上的某些半充足因子。这项工作涉及两个最近的构造，每个构造都在 M0;n 上产生大量此类半充足因子，以及它们之间的关系。第一个来自几何不变量理论（GIT），第二个来自共形场理论。通过 GIT 获得了新的 M0;n 自然双有理模型，它们是 a 的尖有理正态曲线的模空间
The moduli space M0;n of Deligne-Mumford stable n-pointed rational curves admits morphisms to spaces recently constructed by Giansiracusa, Jensen, and Moon that we call Veronese quotients. We study divisors on M0;n associated to these maps and show that these divisors arise as rst Chern classes of vector bundles of conformal blocks. 0;n that receive morphisms from M0;n. From the perspective of Mori theory, this is tantamount to describing cer- tain semi-ample divisors on M0;n. This work is concerned with two recent constructions that each yield an abundance of such semi-ample divisors on M0;n, and the relationship between them. The rst comes from Geometric Invariant Theory (GIT), while the second from conformal eld theory. There are new natural birational models of M0;n obtained via GIT which are moduli spaces of pointed rational normal curves of a