Results 11 to 20 of about 62,613 (263)
Rational curves on K3 surfaces [PDF]
Inventiones mathematicae, 2011 12 pages, 1 figure, introduction rewritten and a figure ...
Li, Jun, Liedtke, Christian
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Rational curves and rational singularities [PDF]
Mathematische Zeitschrift, 2003 24 pages; uses Paul Taylor's diagrams.tex, see e.g.
Flenner, Hubert, Zaidenberg, Mikhail
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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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Doubling Rational Normal Curves [PDF]
, 2010 In this paper, we study double structures supported on rational normal curves. After recalling the general construction of double structures supported on a smooth curve described in \cite{fer}, we specialize it to double structures on rational normal curves.
NOTARI, ROBERTO +2 more
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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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A Variable-Length Rational Finite Element Based on the Absolute Nodal Coordinate Formulation
Machines, 2022 The variable-length arbitrary Lagrange–Euler absolute nodal coordinate formulation (ALE-ANCF) finite element, which employs nonrational interpolating polynomials, cannot exactly describe rational cubic Bezier curves such as conic and circular curves. The
Zhishen Ding, Bin Ouyang
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Convexity-Preserving Rational Cubic Zipper Fractal Interpolation Curves and Surfaces
Mathematical and Computational Applications, 2023 A class of zipper fractal functions is more versatile than corresponding classes of traditional and fractal interpolants due to a binary vector called a signature.
Vijay, Arya Kumar Bedabrata Chand
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Rationality Proofs by Curve Counting [PDF]
Experimental Mathematics, 2019 We propose an approach for showing rationality of an algebraic variety $X$. We try to cover $X$ by rational curves of certain type and count how many curves pass through a generic point. If the answer is $1$, then we can sometimes reduce the question of rationality of $X$ to the question of rationality of a closed subvariety of $X$.
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Rational cuspidal curves in a moving family of ℙ2
Complex Manifolds, 2021 In this paper we obtain a formula for the number of rational degree d curves in ℙ3 having a cusp, whose image lies in a ℙ2 and that passes through r lines and s points (where r + 2s = 3d + 1).
Mukherjee Ritwik, Singh Rahul Kumar
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On Subsets of the Normal Rational Curve
IEEE Transactions on Information Theory, 2017 A normal rational curve of the $(k-1)$-dimensional projective space over ${\mathbb F}_q$ is an arc of size $q+1$, since any $k$ points of the curve span the whole space. In this article we will prove that if $q$ is odd then a subset of size $3k-6$ of a normal rational curve cannot be extended to an arc of size $q+2$.
Simeon Ball, Jan De Beule
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