Iordan, Andrei; Matthey, Fanny Regularity of the \(\overline \partial\) operator and Siu’s theorem about the non-existence of Levi-flat hypersurfaces in the complex projective space \(\mathbb {CP}_n\), \(n\geqslant 3\). (Régularité de l’opérateur \(\overline \partial\) et théorème de Siu sur la non-existence d’hypersurfaces Levi-plates dans l’espace projectif complexe \(\mathbb {CP}_n\), \(n\geqslant 3\).) (French) Zbl 1138.32021 C. R., Math., Acad. Sci. Paris 346, No. 7-8, 395-400 (2008). MSC: 32W05 32T99 32M15 PDF BibTeX XML Cite \textit{A. Iordan} and \textit{F. Matthey}, C. R., Math., Acad. Sci. Paris 346, No. 7--8, 395--400 (2008; Zbl 1138.32021) Full Text: DOI
Cao, Jianguo; Shaw, Mei-Chi The \(\bar\partial\)-Cauchy problem and nonexistence of Lipschitz Levi-flat hypersurfaces in \(\mathbb{C}P^n\) with \(n \geq 3\). (English) Zbl 1124.32017 Math. Z. 256, No. 1, 175-192 (2007). Reviewer: Fritz Haslinger (Wien) MSC: 32W05 PDF BibTeX XML Cite \textit{J. Cao} and \textit{M.-C. Shaw}, Math. Z. 256, No. 1, 175--192 (2007; Zbl 1124.32017) Full Text: DOI
Brinkschulte, Judith Nonexistence of higher codimensional Levi-flat CR manifolds in symmetric spaces. (English) Zbl 1125.32011 J. Reine Angew. Math. 603, 215-233 (2007). Reviewer: Richard M. Timoney (Dublin) MSC: 32M15 32V30 PDF BibTeX XML Cite \textit{J. Brinkschulte}, J. Reine Angew. Math. 603, 215--233 (2007; Zbl 1125.32011) Full Text: DOI
Cao, Jianguo; Shaw, Mei-Chi; Wang, Lihe Estimates for the \(\bar\partial\)-Neumann problem and nonexistence of \(C^2\) Levi-flat hypersurfaces in \(\mathbb{C} P^n\). (English) Zbl 1057.32012 Math. Z. 248, No. 1, 183-221, errata 223-225 (2004). Reviewer: Harold P. Boas (College Station) MSC: 32W05 32V40 35N15 53C40 PDF BibTeX XML Cite \textit{J. Cao} et al., Math. Z. 248, No. 1, 183--221, errata 223--225 (2004; Zbl 1057.32012) Full Text: DOI arXiv
Siu, Yum-Tong Some recent transcendental techniques in algebraic and complex geometry. (English) Zbl 1028.32012 Li, Ta Tsien (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20-28, 2002. Vol. I: Plenary lectures and ceremonies. Beijing: Higher Education Press. 439-448 (2002). Reviewer: E.Ballico (Povo) MSC: 32Q45 14D06 14C30 14F10 PDF BibTeX XML Cite \textit{Y.-T. Siu}, in: Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20--28, 2002. Vol. I: Plenary lectures and ceremonies. Beijing: Higher Education Press; Singapore: World Scientific/distributor. 439--448 (2002; Zbl 1028.32012) Full Text: arXiv
Siu, Yum-Tong Nonexistence of smooth Levi-flat hypersurfaces in complex projective spaces of dimension \(\geq 3\). (English) Zbl 0980.53065 Ann. Math. (2) 151, No. 3, 1217-1243 (2000). Reviewer: Constantin Calin (Iasi) MSC: 53C40 53C55 PDF BibTeX XML Cite \textit{Y.-T. Siu}, Ann. Math. (2) 151, No. 3, 1217--1243 (2000; Zbl 0980.53065) Full Text: DOI Link EuDML arXiv