On the Ricci tensor of real hypersurfaces of quaternionic projective space [PDF]
, 1994 Juan de Dios Pérez
openalex +1 more source
Singular Levi-flat hypersurfaces and codimension one foliations [PDF]
arXiv, 2007 We study Levi-flat real analytic hypersurfaces with singularities. We prove that the Levi foliation on the regular part of the hypersurface can be holomorphically extended, in a suitable sense, to neighbourhoods of singular points.
arxiv
The hull of holomorphy of a nonisotropic ball in a real hypersurface of finite type [PDF]
, 1991 Al Boggess +2 more
openalex +1 more source
The jet transcendence degree of a real hypersurface and Huang-Ji-Yau Conjecture [PDF]
arXivWe investigate the problem of holomorphic algebraizibility for real hypersurfaces in complex space. We introduce a new invariant of a (real-analytic) Levi-nondegenerate hypersurface called {\em the jet transcendence degree}. Using this invariant, we solve in the negative the Conjecture of Huang, Ji and Yau on the algabraizability of real hypersurfaces ...
arxiv
What is the total Betti number of a random real hypersurface? [PDF]
arXiv, 2011 We bound from above the expected total Betti number of a high degree random real hypersurface in a smooth real projective manifold. This upper bound is deduced from the equirepartition of critical points of a real Lefschetz pencil restricted to the complex domain of such a random hypersurface, equirepartition which we first establish.
arxiv
Real analyticity of homeomorphic CR mappings between real analytic hypersurfaces in ${\bf C}\sp 2$ [PDF]
, 1995 Yi Fei Pan
openalex +1 more source
A characterization of pseudo-Einstein real hypersurfaces in a quaternionic projective space [PDF]
, 1996 Tatsuyoshi Hamada
openalex +1 more source
D-einstein real hypersurfaces of quaternionic space forms [PDF]
, 2000 Miguel Ortega, Juan de Dios Pérez
openalex +1 more source
Analytic continuation of germs of holomorphic mappings between real hypersurfaces in Cn. [PDF]
, 2000 Rasul Shafikov
openalex +1 more source