Affine and Projective Geometries of System of Hypersurfaces [PDF]
, 1951 Kentaro Yano, Hitosi Hiramatu
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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
On the hypersurface sections of algebraic varieties embedded in a projective space [PDF]
, 1955 Mieo Nishi, Yoshikazu Nakai
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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
Sur la théorie des hypersurfaces dans un espace à connexion conforme [PDF]
, 1940 Kentaro Yano, Yosio Mutô
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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
Fundamental forms in the projective differential geometry of $m$-parametric families of hypersurfaces of the second order in the $n$-dimensional space [PDF]
, 1927 Akitsugu Kawaguchi
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Willmore-type variational problem for foliated hypersurfaces
Electronic Research ArchiveAfter Thomas James Willmore, many authors were looking for an immersion of a manifold in Euclidean space or Riemannian manifold, which is the critical point of functionals whose integrands depend on the mean curvature or the norm of the second ...
Vladimir Rovenski
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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
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3D Information-Theoretic Analysis of the Simplest Hydrogen Abstraction Reaction. [PDF]
J Phys Chem A, 2023 Esquivel RO +2 more
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