Contractibility of the space of rational maps
Contractibility of the space of rational maps
复制标题
有理映射空间的可收缩性
DOI：
10.1007/s00222-012-0392-5
复制
发表时间：
2011
影响因子：
3.1
通讯作者：
D. Gaitsgory
中科院分区：
文献类型：
--
作者：
D. Gaitsgory
我们定义了从光滑曲线X到代数群G的有理映射空间的代数几何模型，并证明了该空间是同调可压缩的。由此，我们推导出X上G-丛的模空间{算子名{Bun}_{G}$被仿射Grassman的适当有理形式一致化，其中均匀映射具有可收缩的纤维.
We define an algebro-geometric model for the space of rational maps from a smooth curve X to an algebraic group G, and show that this space is homologically contractible. As a consequence, we deduce that the moduli space $\operatorname {Bun}_{G}$ of G-bundles on X is uniformized by the appropriate rational version of the affine Grassmannian, where the uniformizing map has contractible fibers.