Results 11 to 20 of about 159,936 (305)
Covering rational ruled surfaces [PDF]
Mathematics of Computation, 2017 We present an algorithm that covers any given rational ruled surface with two rational parametrizations. In addition, we present an algorithm that transforms any rational surface parametrization into a new rational surface parametrization without affine base points and such that the degree of the corresponding maps is preserved.
Sendra Pons, Juan Rafael +2 more
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A phantom on a rational surface
Inventiones mathematicae, 2023 AbstractWe construct a non-full exceptional collection of maximal length consisting of line bundles on the blow-up of the projective plane in 10 general points. As a consequence, the orthogonal complement of this collection is a universal phantom category. This provides a counterexample to a conjecture of Kuznetsov and to a conjecture of Orlov.
Krah, Johannes ; https://orcid.org/
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Rational points on a subanalytic surface [PDF]
Annales de l'Institut Fourier, 2005 Let X ⊂ ℝ n be a compact subanalytic surface.
Jonathan Pila, Pila, J, Pila, Jonathan
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On the Affine Image of a Rational Surface of Revolution
Mathematics, 2020 We study the properties of the image of a rational surface of revolution under a nonsingular affine mapping. We prove that this image has a notable property, namely that all the affine normal lines, a concept that appears in the context of affine ...
Juan G. Alcázar
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Positivity and Monotonicity Preserving Biquartic Rational Interpolation Spline Surface [PDF]
Journal of Applied Mathematics, 2014 A biquartic rational interpolation spline surface over rectangular domain is constructed in this paper, which includes the classical bicubic Coons surface as a special case.
Xinru Liu, Yuanpeng Zhu, Shengjun Liu
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American Journal of Mathematics, 2001 A Coble surface is a smooth rational projective surface such that its anti-canonical linear system is empty while the anti-bicanonical linear system is nonempty. In this paper we shall classify Coble surfaces and consider the finiteness problem of the number of negative rational curves on it modulo automorphisms.
Dolgachev, I.V., Zhang, D.-Q.
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Rational surfaces with linear normals and their convolutions with rational surfaces [PDF]
Computer Aided Geometric Design, 2006 The authors discuss geometric properties of polynomial (or rational) parametrized surfaces with linear fields of normal vectors. It is shown that these are projectively dual to graphs of bivariate polynomials (or rational functions). This dual representation is applied to prove that the convolution of rational surfaces with linear normal vector fields ...
Maria Lucia Sampoli +2 more
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On rationally supported surfaces [PDF]
Computer Aided Geometric Design, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jens Gravesen +2 more
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On m-sided rational surface patches
Lietuvos Matematikos Rinkinys, 1997 There is not abstract.
Kęstutis Karčiauskas
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Blending Cylinders and Cones using Canal Surfaces
Nonlinear Analysis, 2000 There is reviewed the construction of a rational blending surface between cylinders and cones in some interlocation cases. This surface is constructed as a patch of rolling ball envelope, i.e.
M. Kazakevičiūtė, R. Krasauskas
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