摘要翻译:
研究了局部系统的中间卷积,并将特殊的线性群实现为有理上的伽罗瓦群。在本文的附录中,我们与Stefan Reiter合作,证明了一个新的具有$G_2$-monodromy的motivic局域系统的存在性。
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英文标题:
《On the middle convolution of local systems. With an Appendix by M.
Dettweiler and S. Reiter》
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作者:
Michael Dettweiler
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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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一级分类:Mathematics 数学
二级分类:Number Theory 数论
分类描述:Prime numbers, diophantine equations, analytic number theory, algebraic number theory, arithmetic geometry, Galois theory
素数,丢番图方程,解析数论,代数数论,算术几何,伽罗瓦理论
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英文摘要:
We study the middle convolution of local systems and realize special linear groups as Galois groups over the rationals. In the Appendix to this paper, written jointly with Stefan Reiter, we prove the existence of a new motivic local system with $G_2$-monodromy.
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PDF链接:
https://arxiv.org/pdf/0810.3334