摘要翻译:
证明了从光滑实解析极小CR流形M到具有相同CR维数的P^n的本质有限实代数泛型子流形M′的实解析CR映射的芽沿M扩展为全纯对应。给出了P^n的伪凹子流形的应用。
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英文标题:
《Holomorphic correspondences between CR manifolds》
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作者:
C. Denson Hill and Rasul Shafikov
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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: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:
It is proved that a germ of a real analytic CR map from a smooth real-analytic minimal CR manifold M to an essentially finite real-algebraic generic submanifold M' of P^N of the same CR-dimension extends as a holomorphic correspondence along M. Applications are given for pseudoconcave submanifolds of P^N.
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PDF链接:
https://arxiv.org/pdf/0710.3579