Results 21 to 30 of about 62,613 (263)
HEEGAARD FLOER HOMOLOGY AND RATIONAL CUSPIDAL CURVES
Forum of Mathematics, Sigma, 2014 We apply the methods of Heegaard Floer homology to identify topological properties of complex curves in $\mathbb{C}P^{2}$. As one application, we resolve an open conjecture that constrains the Alexander polynomial of the ...
MACIEJ BORODZIK, CHARLES LIVINGSTON
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Nuclei of normal rational curves [PDF]
Journal of Geometry, 2000 A $k$-nucleus of a normal rational curve in PG$(n,F)$ is the intersection over all $k$-dimensional osculating subspaces of the curve ($k\in\{-1,0,...,n-1\}$). It is well known that for characteristic zero all nuclei are empty. In case of characteristic $p>0$ and $# F\geq n$ the number of non-zero digits in the representation of $n+1$ in base $p ...
Gmainer, Johannes, Havlicek, Hans
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Degree reduction of Rational Bézier curves by hybrid optimization method
Results in Applied Mathematics, 2022 The paper addresses the problem of degree reduction of rational Bézier curves. A new optimization problem is formulated based on the weighted sum method, weighted least squares and quadratic programming.
Mao Shi
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Smooth Rational Curves on Singular Rational Surfaces [PDF]
Michigan Mathematical Journal, 2018 We classify all complex surfaces with quotient singularities that do not contain any smooth rational curves, under the assumption that the canonical divisor of the surface is not pseudo-effective. As a corollary we show that if $X$ is a log del Pezzo surface such that for every closed point $p\in X$, there is a smooth curve (locally analytically ...
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Surfaces Modelling Using Isotropic Fractional-Rational Curves
Journal of Applied Mathematics, 2019 The problem of building a smooth surface containing given points or curves is actual due to development of industry and computer technology. Previously used for those purposes, shells of zero Gaussian curvature and minimal surfaces based on isotropic ...
Igor V. Andrianov +3 more
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Descendents on local curves: rationality [PDF]
Compositio Mathematica, 2012 Abstract We study the stable pairs theory of local curves in 3-folds with descendent insertions. The rationality of the partition function of descendent invariants is established for the full local curve geometry (equivariant with respect to the scaling 2-torus), including relative conditions and odd-degree insertions for higher-genus
Pandharipande, R., Pixton, A.
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Shape preserving rational cubic spline for positive and convex data
Egyptian Informatics Journal, 2011 In this paper, the problem of shape preserving C2 rational cubic spline has been proposed. The shapes of the positive and convex data are under discussion of the proposed spline solutions. A C2 rational cubic function with two families of free parameters
Malik Zawwar Hussain +2 more
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Reducible Curves on Rational Surfaces [PDF]
Tokyo Journal of Mathematics, 2006 The authors study reducible curves \(B\) on a smooth projective rational surface \(X/\mathbb{C}\). Let \(f:V\to X\) be a birational morphism from a smooth projective surface \(V\) such that the proper transform \(D=f'(B)\) is a disjoint union of smooth irreducible curves.
KOJIMA, Hideo, TAKAHASHI, Takeshi
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Families of elliptic curves with rational 3-torsion
Journal of Mathematical Cryptology, 2012 In this paper we look at three families of elliptic curves with rational 3-torsion over a finite field. These families include Hessian curves, twisted Hessian curves, and a new family we call generalized DIK curves. We find the number of -isogeny classes
Moody Dustin, Wu Hongfeng
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Strata of rational space curves [PDF]
Computer Aided Geometric Design, 2015 28 pages; revised version reflects minor changes in final version of the ...
David A. Cox 0001, Anthony A. Iarrobino
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