Moduli-stacks for bundles on semistable curves
Moduli-stacks for bundles on semistable curves
复制标题
半稳定曲线上束的模堆栈
DOI：
10.1007/bf01446303
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发表时间：
1996
影响因子：
1.4
通讯作者：
G. Faltings
中科院分区：
文献类型：
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作者：
G. Faltings
亏格为g的光滑曲线C上的主G-丛（G是约化代数群）的模空间（或栈）最近已结合弦理论得到了研究。一种可能的方法是首先证明各种不变量与曲线C无关，然后让C退化为有理节点曲线，希望相关的数字是可计算的。为了实现这一策略，需要研究退化下模空间的行为。这里我们给出两种可能的构造：
The moduli spaces (or stacks) of principal G-bundles (G a reductive algebraic group) on a smooth curve C of genus g have been investigated recently in connection with string theory. One possible approach to them is to show first that various invariants are independent of the curve C, and then to let C degenerate to a rational nodal curve where one hopes that the relevant numbers are computable. To implement this strategy one needs to study the behavior of the moduli-spaces under degeneration. Here we give two possible constructions: