摘要翻译:
本文是我们先前提出的驯服Artin栈理论的继续。我们这里的主要目标是在目标是一个驯服的Artin堆栈的情况下,构造一个适当的Kontsevich稳定映射空间的类似物。当目标是一个驯服的Deligne-Mumford堆栈时,该理论由Abramovich和Vistoli开发,并发现了许多应用。本文提出的任意tame Artin堆栈的理论非常相似,但需要克服一些技术障碍和推广一些基础问题。
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英文标题:
《Twisted stable maps to tame Artin stacks》
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作者:
Dan Abramovich, Martin Olsson, and Angelo Vistoli
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最新提交年份:
2010
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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:
This paper is a continuation of our earlier development of a theory of tame Artin stacks. Our main goal here is the construction of an appropriate analogue of Kontsevich's space of stable maps in the case where the target is a tame Artin stack. When the target is a tame Deligne--Mumford stack, the theory was developed by Abramovich and Vistoli, and found a number of applications. The theory for arbitrary tame Artin stacks developed here is very similar, but it is necessary to overcome a number of technical hurdles and to generalize a few questions of foundation.
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PDF链接:
https://arxiv.org/pdf/0801.3040