Results 261 to 270 of about 112,777 (272)

Laplace-Beltrami Operator of a Helicoidal Hypersurface in Four-Space

, 2016
Communicated by Ivaïlo Mladenov Abstract. We introduce helicoidal hypersurface in the four dimensional Euclidean space. We calculate the mean and the Gaussian curvature, and some relations of the helicoidal hypersurface. Then we give the Laplace-Beltrami
Erhan Güler, M. Magid, Y. Yaylı
semanticscholar   +1 more source

Sharp upper estimate conjecture for the Yau number of a weighted homogeneous isolated hypersurface singularity

, 2016
: Let V be a hypersurface with an isolated singularity at the origin defined by the function of f : ( C n , 0) → ( C , 0). Let L ( V ) be the Lie algebra of derivations of the moduli algebra A ( V ) := C { x 1 , · · · , x n } / ( f, ∂f/∂x 1 , · · · , ∂f ...
S. Yau, Huaiqing Zuo
semanticscholar   +1 more source

A Lower Bound for the Determinantal Complexity of a Hypersurface

Foundations of Computational Mathematics, 2015
We prove that the determinantal complexity of a hypersurface of degree $$d > 2$$d>2 is bounded below by one more than the codimension of the singular locus, provided that this codimension is at least 5.
J. Alper, Tristram C. Bogart, Mauricio Velasco   +2 more
semanticscholar   +1 more source

Polynomial Partitioning on Varieties of Codimension Two and Point-Hypersurface Incidences in Four Dimensions

Discrete & Computational Geometry, 2014
We present a polynomial partitioning theorem for finite sets of points in the real locus of an irreducible complex algebraic variety of codimension at most two.
S. Basu, M. Sombra
semanticscholar   +1 more source

On the Fukaya category of a Fano hypersurface in projective space

Publications mathématiques (Bures-sur-Yvette), 2013
This paper is about the Fukaya category of a Fano hypersurface X⊂CPn$X \subset \mathbf {CP}^{n}$. Because these symplectic manifolds are monotone, both the analysis and the algebra involved in the definition of the Fukaya category simplify considerably ...
Nick Sheridan
semanticscholar   +1 more source

The Bruce-Roberts number of a function on a weighted homogeneous hypersurface

, 2013
Given (X, 0) ⊂ (C, 0) a weighted homogeneous germ of hypersurface with isolated singularity and f : (C, 0) → (C, 0) a germ of function finitely determined with respect to X, we show that μBR(X, f) = μ(f) + μ(X, f), where μ(f) and μ(X, f) denote the ...
J. J. Nuño-Ballesteros, B. Oréfice, J. N. Tomazella   +2 more
semanticscholar   +1 more source

On special quadratic birational transformations of a projective space into a hypersurface

, 2012
We study transformations as in the title with emphasis on those having smooth connected base locus, called “special”. In particular, we classify all special quadratic birational maps into a quadric hypersurface whose inverse is given by quadratic forms ...
Giovanni Staglianò
semanticscholar   +1 more source

Synthesis of adaptive tracking systems based on the hypothesis of stationarity of the Hamiltonian on the switching hypersurface

, 2017
A. Kostoglotov, S. Lazarenko
semanticscholar   +1 more source

On Contact of Hypersurfaces

Bulletin of the London Mathematical Society, 1981
openaire   +3 more sources

Hypersurfaces

1998
openaire   +1 more source