An example of a real analytic strongly pseudoconvex hypersurface which is not holomorphically equivalent to any algebraic hypersurface

Xiaojun Huang; Shanyu Ji; Stephen S. T. Yau

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An example of a real analytic strongly pseudoconvex hypersurface which is not holomorphically equivalent to any algebraic hypersurface

机译：实解析强伪凸超曲面的一个示例，它在全态上不等同于任何代数超曲面

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《Arkiv för Matematik》 |2001年第1期|75-93|共19页
作者
Xiaojun Huang; Shanyu Ji; Stephen S. T. Yau;
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作者单位

Department of Mathematics Rutgers University;

Department of Mathematics University of Houston;

Department of Mathematics University of Illinois at Chicago;

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专利

1. An algebraic characterization of holomorphic nondegeneracy for real algebraic hypersurfaces and its application to CR mappings [J] . Nordine Mir Mathematische Zeitschrift . 1999,第1期

机译：实代数超曲面的全纯非简并性的代数刻画及其在CR映射中的应用
2. Holomorphic extension of meromorphic mappings along real analytic hypersurfaces [J] . Annali di matematica pura ed applicata . 2020,第4期

机译：实际分析过度覆盖的纯映射的全象延伸
3. Convergence of formal invertible CR mappings between minimal holomorphically nondegenerate real analytic hypersurfaces [J] . Jo?lMerker International journal of mathematics and mathematical sciences . 2001,第5期

机译：最小全纯非简并实解析超曲面之间的形式可逆CR映射的收敛
4. Geometric Analysis on a Family of Pseudoconvex Hypersurfaces [C] . Der-Chen Chang, Stephen S.-T. Yau International Conference in Geometric Analysis . 2010

机译：伪谐波高度覆盖家族的几何分析
5. Some Properties of Closed Hypersurfaces of Small Entropy and the Topology of Hypersurfaces Through Singularities of Mean Curvature Flow [D] . Wang, Shengwen. 2018

机译：通过平均曲率流的奇异性，闭合的小熵超曲面的一些性质和超曲面的拓扑
6. Complex submanifolds in real-analytic pseudoconvex hypersurfaces [O] . Klas Diederich, John Erik Fornaess 1977

机译：实解析伪凸超曲面中的复杂子流形
7. Complex submanifolds in real-analytic pseudoconvex hypersurfaces [O] . Diederich, Klas, Fornaess, John Erik 1977

机译：实解析伪凸超曲面中的复杂子流形
8. Homology Classes Represented by Real Algebraic Hypersurfaces [R] . Bochnak, J. , Kucharz, W. 1987

机译：由真正的代数超曲面表示的同源类

An example of a real analytic strongly pseudoconvex hypersurface which is not holomorphically equivalent to any algebraic hypersurface

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