Results 221 to 230 of about 2,014 (239)
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Computing self-intersection curves of rational ruled surfaces
Computer Aided Geometric Design, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaohong Jia +2 more
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, 2018 This chapter completes the proofs of McDuff’s theorems on rational and ruled symplectic 4-manifolds stated in the introduction.
Chris Wendl
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A computational study of ruled surfaces
Journal of Symbolic Computation, 2009 International audienceWe study rational ruled surfaces and $\mu$-bases which were recently considered in a series of articles by Chen and coworkers. We give short and conceptual proofs with geometric insights and efficient algorithms.
Laurent Buse, André Galligo
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The mu-basis of a rational ruled surface
Computer Aided Geometric Design, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Falai Chen +2 more
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On Rational Surfaces Ruled by Conics
Communications in Algebra, 2003Abstract We study projective rational surfaces ruled by conics, describing their singularities and special fibres. In particular, if Sis smooth, we give a “canonical” procedure to determine a minimal model among the geometrically ruled surfaces birational to S.
BRUNDU, MICHELA, SACCHIERO, GIANNI
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On the Moduli of Curves on Rational Ruled Surfaces
American Journal of Mathematics, 1987Here the author studies the coarse moduli space of curves on a rational geometrically ruled surface \(F_ e\). For an open very explicit subset of these curves the author gets a fine moduli scheme. The key tool is the geometric invariant theory for actions of non reductive groups developed by the author in Compos. Math. 55, 63-87 (1985; Zbl 0577.14037).
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On Finite Morphisms of Rational Ruled Surfaces
Mathematische Nachrichten, 1992The author investigates morphisms related to the rational ruled surfaces \(F_ e= \mathbb{P}({\mathcal O}_{\mathbb{P}^ 1}\oplus{\mathcal O}_{\mathbb{P}^ 1}(-e))\) of invariant \(e \geq 0\) defined over an algebraically closed field \(k\), in the following situations: (i) morphisms \(\varphi:F_{e'} \to F_ e\) whose image is not contained in a fibre, (ii)
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Rational-Ruled Surfaces: Implicitization and Section Curves
Graphical Models and Image Processing, 1995Abstract This paper shows how to express the implicit equation of a degree 1 × n tensor product rational surface as a determinant of dimension at most n × n . If the rational surface has base points whose multiplicities sum to p , the implicit equation can still be expressed in a single determinant with no extraneous factors.
Thomas W. Sederberg, Takafumi Saito
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Reparametrization of a rational ruled surface using the μ-basis
Computer Aided Geometric Design, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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