Results 121 to 130 of about 4,692,768 (270)

Intersections of Real Symmetric Hypersurfaces

open access: yes
8 pages.
Lidz, Samuel   +2 more
openaire   +2 more sources

On the total curvature of tropical hypersurfaces [PDF]

open access: yesarXiv, 2013
This paper studies the curvatures of amoebas and real amoebas (i.e. essentially logarithmic curvatures of the complex and real parts of a real algebraic hypersurface) and of tropical and real tropical hypersurfaces. If V is a tropical hypersurface defined over the field of real Puiseux series, it has a real part RV which is a polyhedral complex.
arxiv  

Singular Levi-flat hypersurfaces and codimension one foliations [PDF]

open access: yesarXiv, 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  

New Zealand volume. [PDF]

open access: yesEur J Math, 2022
Bogomolov F   +3 more
europepmc   +1 more source

The jet transcendence degree of a real hypersurface and Huang-Ji-Yau Conjecture [PDF]

open access: yesarXiv
We 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]

open access: yesarXiv, 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  

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