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摘要翻译：
我们描述了余维一中全纯网的整体结构，特别是它们的奇异性（焦散性）。引入了在正则点附近不感兴趣的各种概念，如类型、可约性、拟光滑性、CI性质（完全交）、二元性等。例如，我们证明了在复射影空间上全局定义的网的代数性至少可以在它的焦散性（二叉性）上得到，如果每个不可约分量是CI，并且该网是拟光滑的。.
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英文标题：
《Global stucture of webs in codimension one》
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作者：
Vincent Cavalier (I3M), Daniel Lehmann (I3M)
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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：Dynamical Systems 动力系统
分类描述：Dynamics of differential equations and flows, mechanics, classical few-body problems, iterations, complex dynamics, delayed differential equations
微分方程和流动的动力学，力学，经典的少体问题，迭代，复杂动力学，延迟微分方程
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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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一级分类：Mathematics 数学
二级分类：Differential Geometry 微分几何
分类描述：Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis
复形，接触，黎曼，伪黎曼和Finsler几何，相对论，规范理论，整体分析
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英文摘要：
We describe the global structure of holomorphic webs in codimension one, and in particular their singularity (caustic). Various concepts are introduced, which have no interest locally near a regular point, such as the type, the reducibility, the quasi-smoothness, the CI property (complete intersection), the dicriticity... We prove for instance that the algebraicity of a web globally defined on a complex projective space may be readen on its caustic (dicriticity), at least if each irreducible component is CI, and the web quasi-smooth. .
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PDF链接：
https://arxiv.org/pdf/0803.2434
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