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Structure of stable degeneration of K3 surfaces into pairs of rational elliptic surfaces
Journal of High Energy Physics, 2018 F-theory/heterotic duality is formulated in the stable degeneration limit of a K3 fibration on the F-theory side. In this note, we analyze the structure of the stable degeneration limit. We discuss whether stable degeneration exists for pairs of rational
Yusuke Kimura
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Anticanonical Rational Surfaces [PDF]
Transactions of the American Mathematical Society, 1997 A determination of the fixed components, base points and irregularity is made for arbitrary numerically effective divisors on any smooth projective rational surface having an effective anticanonical divisor. All of the results are proven over an algebraically closed field of arbitrary characteristic.
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On the limits of non-uniform rational B-spline surfaces with varying weights
Advances in Mechanical Engineering, 2017 The non-uniform rational B-spline is a mathematical model commonly used in computer-aided design and manufacturing. For a non-uniform rational B-spline surface, when a single weight approaches infinity, the surface tends to the corresponding control ...
Yue Zhang, Chun-Gang Zhu, Qing-Jie Guo
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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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An Improvement on the Upper Bounds of the Partial Derivatives of NURBS Surfaces
Mathematics, 2020 The Non-Uniform Rational B-spline (NURBS) surface not only has the characteristics of the rational Bézier surface, but also has changeable knot vectors and weights, which can express the quadric surface accurately.
Ye Tian +4 more
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Mathematics, 2023 We explore stochastic–fractional Drinfel’d–Sokolov–Wilson (SFDSW) equations for some wave solutions such as the cross-kink rational wave solution, periodic cross-rational wave solution and homoclinic breather wave solution.
Shami A. M. Alsallami +2 more
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Linear Systems of Rational Curves on Rational Surfaces [PDF]
Moscow Mathematical Journal, 2012 Given a curve C on a projective nonsingular rational surface S, over an algebraically closed field of characteristic zero, we are interested in the set Omega_C of linear systems Lambda on S satisfying C is in Lambda, dim Lambda > 0, and the general member of Lambda is a rational curve.
Daigle, Daniel +1 more
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Monotone Data Visualization Using Rational Trigonometric Spline Interpolation
The Scientific World Journal, 2014 Rational cubic and bicubic trigonometric schemes are developed to conserve monotonicity of curve and surface data, respectively. The rational cubic function has four parameters in each subinterval, while the rational bicubic partially blended function ...
Farheen Ibraheem +2 more
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Rational rolling ball blending of natural quadrics
Mathematical Modelling and Analysis, 2000 We construct a blending surface of two natural quadrics using rational variable rolling ball approach, i.e. as a canal surface with a rational spine curve and a rational radius. All general positions of the given quadric surfaces are considered.
K. Karčiauskas, R. Krasauskas
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Non Kählerian surfaces with a cycle of rational curves
Complex Manifolds, 2021 Let S be a compact complex surface in class VII0+ containing a cycle of rational curves C = ∑Dj. Let D = C + A be the maximal connected divisor containing C.
Dloussky Georges
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