摘要翻译：
设G为连通代数群，设[G,G]为其交换子群。本文证明了Drinfeld关于[G,G]的连通etale群覆盖H存在性的一个猜想，该猜想具有以下性质：G的每个中心扩张通过有限etale群格式在H上分裂，G的交换子映射提升到H。此外，我们还证明了在H的自然作用下G的商栈是G映射到的泛Deligne-Mumford Picard栈。
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英文标题：
《Stacky Abelianization of an Algebraic Group》
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作者：
Masoud Kamgarpour
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最新提交年份：
2008
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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
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英文摘要：
  Let G be a connected algebraic group and let [G,G] be its commutator subgroup. We prove a conjecture of Drinfeld about the existence of a connected etale group cover H of [G,G], characterized by the following properties: every central extension of G, by a finite etale group scheme, splits over H, and the commutator map of G lifts to H. We prove, moreover, that the quotient stack of G by the natural action of H is the universal Deligne-Mumford Picard stack to which G maps.
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PDF链接：
https://arxiv.org/pdf/0711.3023