摘要翻译:
设M是CR维数n和CR余维数k的光滑CR流形,它不是紧的,但具有局部扩张性质E。我们对M引入了“初等伪凹”的概念,将“伪凹”复流形的概念推广到CR流形。然后利用这一概念,将我们以前关于M上CR亚纯函数域K(M)的代数依赖、超越度及相关问题的结果推广到非紧情形。
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英文标题:
《Elementary Pseudoconcavity and fields of CR meromorphic functions》
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作者:
C. Denson Hill and Mauro Nacinovich
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最新提交年份:
2007
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分类信息:
一级分类:Mathematics 数学
二级分类:Complex Variables 复变数
分类描述:Holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves
全纯函数,自守群作用与形式,伪凸性,复几何,解析空间,解析束
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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:Analysis of PDEs 偏微分方程分析
分类描述:Existence and uniqueness, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDE's, conservation laws, qualitative dynamics
存在唯一性,边界条件,线性和非线性算子,稳定性,孤子理论,可积偏微分方程,守恒律,定性动力学
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英文摘要:
Let M be a smooth CR manifold of CR dimension n and CR codimension k, which is not compact, but has the local extension property E. We introduce the notion of "elementary pseudoconcavity" for M, which extends to CR manifolds the concept of a "pseudoconcave" complex manifold. This notion is then used to obtain generalizations, to the noncompact case, of the results of our previous paper about algebraic dependence, transcendence degree and related matters for the field K(M) of CR meromorphic functions on M.
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PDF链接:
https://arxiv.org/pdf/0710.5031