论文标题
具有扭曲场的堆栈理论和两个稳定图的模量的分辨率
A theory of stacks with twisted fields and resolution of moduli of genus two stable maps
论文作者
论文摘要
我们构建了一个平滑的代数堆栈,由两个节点曲线,线束和扭曲场组成。它导致了两个稳定地图的模量降低到投影空间。该结构基于具有扭曲场(STF)的堆栈理论的系统应用,该理论的原型出现在Arxiv:1906.10527和Arxiv:1201.2427中,并在本文中完全开发。本文的结果是一系列作品的第二步,用于较高属的稳定地图模量的分辨率。
We construct a smooth algebraic stack of tuples consisting of genus two nodal curves, line bundles, and twisted fields. It leads to a desingularization of the moduli of genus two stable maps to projective spaces. The construction is based on systematical application of the theory of stacks with twisted fields (STF), which has its prototype appeared in arXiv:1906.10527 and arXiv:1201.2427 and is fully developed in this article. The results of this article are the second step of a series of works toward the resolutions of the moduli of stable maps of higher genera.