摘要翻译:
本文发展了半径为$\lambda$($0<\lambda\leq1$)的相对对数收敛上同调理论,它是前文相对对数收敛上同调概念的推广。通过将该上同调与相对对数晶体上同调、相对刚性上同调及其变体进行比较,并利用超覆盖技巧,证明了关于真光滑族相对刚性上同调过收敛的Berthelot猜想的一个版本。
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英文标题:
《Relative log convergent cohomology and relative rigid cohomology II》
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作者:
Atsushi Shiho
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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: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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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:
In this paper, we develop the theory of relative log convergent cohomology of radius $\lambda$ ($0 < \lambda \leq 1$), which is a generalization of the notion of relative log convergent cohomology in the previous paper. By comparing this cohomology with relative log crystalline cohomology, relative rigid cohomology and its variants and by using some technique of hypercovering, we prove a version of Berthelot's conjecture on the overconvergence of relative rigid cohomology for proper smooth families.
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PDF链接:
https://arxiv.org/pdf/0707.1743