Results 1 to 10 of about 32,186 (152)
Non-embeddable Real Algebraic Hypersurfaces [PDF]
, 2013 We study various classes of real hypersurfaces that are not embeddable into more special hypersurfaces in higher dimension, such as spheres, real algebraic compact strongly pseudoconvex hypersurfaces or compact pseudoconvex hypersurfaces of finite type ...
Huang, Xiaojun, Zaitsev, Dmitri
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Chirality of Real Non-singular Cubic Fourfolds and Their Pure Deformation Classification [PDF]
, 2019 In our previous works we have classified real non-singular cubic hypersurfaces in the 5-dimensional projective space up to equivalence that includes both real projective transformations and continuous variations of coefficients preserving the ...
Finashin, Sergey, Kharlamov, Viatcheslav
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Topology of random real hypersurfaces [PDF]
, 2014 These are notes of the mini-course I gave during the CIMPA summer school at Villa de Leyva, Colombia, in July $2014$. The subject was my joint work with Damien Gayet on the topology of random real hypersurfaces, restricting myself to the case of ...
Welschinger, Jean-Yves
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Livsic-type Determinantal Representations and Hyperbolicity [PDF]
, 2015 Hyperbolic homogeneous polynomials with real coefficients, i.e., hyperbolic real projective hypersurfaces, and their determinantal representations, play a key role in the emerging field of convex algebraic geometry.
Shamovich, Eli, Vinnikov, Victor
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Remarks on the rank properties of formal CR maps
, 2006 We prove several new transversality results for formal CR maps between formal real hypersurfaces in complex space.
Bernhard Lamel +20 more
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Hopf hypersurfaces in complex Grassmannians of rank two
, 2016 In this paper, we study real hypersurfaces in complex Grassmannians of rank two. First, the nonexistence of mixed foliate real hypersurfaces is proven. With this result, we show that for Hopf hypersurfaces in complex Grassmannians of rank two, the Reeb ...
Lee, Ruenn-Huah, Loo, Tee-How
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Formal biholomorphic maps of real analytic hypersurfaces
, 2000 Let f : (M,p)\to (M',p') be a formal biholomorphic mapping between two germs of real analytic hypersurfaces in \C^n, p'=f(p). Assuming the source manifold to be minimal at p, we prove the convergence of the so-called reflection function associated to f ...
Mir, Nordine
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Extension of Levi-flat hypersurfaces past CR boundaries
, 2006 Local conditions on boundaries of $C^\infty$ Levi-flat hypersurfaces, in case the boundary is a generic submanifold, are studied. For nontrivial real analytic boundaries we get an extension and uniqueness result, which forces the hypersurface to be real ...
Lebl, Jiri
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Real Hypersurfaces of Type A in Complex Two-Plane Grassmannians Related to The Reeb Vector Field
, 2015 Y. J. Suh and H. Lee (Bull. Korean. Math. Soc. 47, 551-561 (2010)) characterized real hypersurfaces $M$ of type $B$ by the invariance of vector bundle $JTM^\perp$ under the shape operator and the orthogonality of $JTM^\perp$ and $\mathcal {J}TM^\perp ...
Lee, Ruenn-Huah, Loo, Tee-How
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On formal maps between generic submanifolds in complex space
, 2009 Let H:(M,p)->(M',p') be a formal mapping between two germs of real-analytic generic submanifolds in C^N with nonvanishing Jacobian. Assuming M to be minimal at p and M' holomorphically nondegenerate at p', we prove the convergence of the mapping H.
Sunyé, Jean-Charles
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