中文

关于 $\mathbb{C}^N$ 中退化亚流形附着的广义定点盘

复变函数 2026-02-26 v2

摘要

我们研究附着于 Cn+d\mathbb{C}^{n+d} 中范德西尔德退化亚流形 M 的广义定点盘的族。我们在 M 具备适当的几何假设下,证明该族形成 Banach 空间中解析盘的有限维实亚流形。

关键词

引用

@article{arxiv.2602.19717,
  title  = {Generalized stationary discs attached to degenerate submanifolds in $\mathbb{C}^N$},
  author = {Mohammad Tarek Al Masri and Florian Bertrand and Francine Meylan and Lea Oueidat and Hadi Zoghaib},
  journal= {arXiv preprint arXiv:2602.19717},
  year   = {2026}
}

备注

This work was done in the framework of the Summer Research Camp in Mathematics designed by the Department of Mathematics at the American University of Beirut (AUB) and that benefited from a generous support from the Center for Advanced Mathematical Sciences and the Faculty of Arts and Sciences at AUB