Results 171 to 180 of about 120,329 (298)

On toric Calabi-Yau hypersurfaces fibered by weighted K3 hypersurfaces [PDF]

arXiv, 2006
In response to a question of Reid, we find all anti-canonical Calabi-Yau hypersurfaces $X$ in toric weighted projective bundles over the projective line where the general fiber is a weighted K3 hypersurface. This gives a direct generalization of Reid's discovery of the 95 families of weighted K3 hypersurfaces.
arxiv  

The web of quadric hypersurfaces in 𝑟 dimensions [PDF]

, 1935
T. R. Hollcroft
openalex   +1 more source

Higher order invariants of Levi degenerate hypersurfaces [PDF]

arXiv, 2008
The first part of this paper considers higher order CR invariants of three dimensional hypersurfaces of finite type. Using a full normal form we give a complete characterization of hypersurfaces with trivial local automorphism group, and analogous results for finite groups. The second part considers hypersurfaces of finite Catlin multitype and the Kohn-
arxiv  

Affine and Projective Geometries of System of Hypersurfaces [PDF]

, 1951
Kentaro Yano, Hitosi Hiramatu
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On the Singular Structure of Graph Hypersurfaces [PDF]

arXiv, 2010
We show that the singular loci of graph hypersurfaces correspond set-theoretically to their rank loci. The proof holds for all configuration hypersurfaces and depends only on linear algebra. To make the conclusion for the second graph hypersurface, we prove that the second graph polynomial is a configuration polynomial.
arxiv  

On the hypersurface sections of algebraic varieties embedded in a projective space [PDF]

, 1955
Mieo Nishi, Yoshikazu Nakai
openalex   +1 more source

Investigating the characteristics of Clifford hypersurfaces and the unit sphere via a minimal immersion in $ S^{n+1} $

AIMS Mathematics
In this article, we find the different sufficient conditions for a compact minimal hypersurface $ M $ of the unit sphere $ S^{n+1}, n\in \mathbb{Z}^{+} $ to be the Clifford hypersurface $ S^{\ell }(\sqrt{\frac{\ell }{n}})\times S^{m}(\sqrt{\frac{m}{n}}),
Ibrahim Al-dayel
doaj   +1 more source

The Viro Method for Construction of Piecewise Algebraic Hypersurfaces

Abstract and Applied Analysis, 2013
We propose a new method to construct a real piecewise algebraic hypersurface of a given degree with a prescribed smoothness and topology. The method is based on the smooth blending theory and the Viro method for construction of Bernstein-Bézier algebraic
Yisheng Lai, Weiping Du, Renhong Wang
doaj   +1 more source

Sur la théorie des hypersurfaces dans un espace à connexion conforme [PDF]

, 1940
Kentaro Yano, Yosio Mutô
openalex   +1 more source

Factorial threefold hypersurfaces

Journal of Algebraic Geometry, 2009
Let X X be a hypersurface in P 4 \mathbb {P}^{4} of degree  d d that has at worst isolated ordinary double points. We prove that X X is factorial in the case when X X has at most ( d −
openaire   +4 more sources