Results 41 to 50 of about 2,136 (139)

Rank-3 Stable Bundles On Rational Ruled Surfaces

, 1996
. In this paper, we compare the moduli spaces of rank-3 vector bundles stable with respect to different ample divisors over rational ruled surfaces. We also discuss the irreducibility, unirationality, and rationality of these moduli spaces. Introduction.
Zhenbo Qin, Wei-ping Li, Wei-ping Li and Zhenbo Qin   +2 more
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Offsets, Conchoids and Pedal Surfaces [PDF]

, 2015
We discuss three geometric constructions and their relations, namely the offset, the conchoid and the pedal construction. The offset surface F d of a given surface F is the set of points at fixed normal distance d of F.
Sendra, J. Raffael, Sendra Pons, J. Rafael, Gotthart, Lukas, Peternell, Martin, Sendra, J., Sendra Pons, Juana   +5 more
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A new and efficient algorithm for Detecting Affine Equivalences and Symmetries of ruled rational surfaces [PDF]

Bu çalışmada, rasyonel parametrizasyonlar yardımıyla verilen iki regle yüzey arasındaki tüm afin denklikleri hesaplayan yeni ve etkili bir yöntem sunulmaktadır.
Çoban, Hüsnü Anil, Gözütok, Uğur
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Intersections numbers on the compact variety of rational ruled surfaces [PDF]

, 2006
We consider the Quot scheme, R_{d}, compactifying the space of degree d maps from the projective line to the Grassmannian of lines. We give an algorithm for computing the degree of R_{d} under a "generalized Plücker embedding", this is a certain Gromov-Witten invariant. The approach is to apply the Atiyah-Bott localization formula for the natural C^{*}-
openaire   +2 more sources

The degree of the variety of rational ruled surfaces and Gromov-Witten invariants [PDF]

Transactions of the American Mathematical Society, 2005
We compute the degree of the variety parametrizing rational ruled surfaces of degree d in the projective space by relating the problem to Gromov-Witten invariants and Quantum cohomology.
openaire   +4 more sources

Enumerative formulae for ruled cubic surfaces and rational quintic curves

Commentarii Mathematici Helvetici, 1986
For varieties in \({\mathbb{P}}^ 3\), the classical enumerative geometers obtained their results for curves of degree \(\leq 4\) and surfaces of degree \(\leq 2.\) Here the program is continued with new results about ruled cubic surfaces and rational quintic curves.
Vainsencher, Israel, Coray, Daniel F.
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A hybrid symbolic-numerical approach for ruled surface detection and parameterization [PDF]

Ruled surfaces play a crucial role in geometric modeling and computer-aided design (CAD) due to their structural simplicity and broad practical applications.
Pérez Díaz, Sonia, Magdalena Benedicto, J. Rafael, Fernández de Sevilla Vellón, María de los Ángeles, Wang, Xin-Yu, Shen, Li-Yong   +4 more
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Classification of Algebraic Surfaces with Sectional Genus less than or Equal to Six. II: Ruled Surfaces with dim ϕ_Kx⊗L(x) = l

, 1986
Let L be a very ample line bundle on a smooth, connected, projective, ruled not rational surface X. We have considered the problem of classifying biholomorphically smooth, connected, projected, ruled, non rational surfaces X with smooth hyperplane ...
Elvira Laura Livorni
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Centralizers of Hamiltonian Circle Actions on Rational Ruled Surfaces

Memoirs of the American Mathematical Society
We compute the homotopy type of the group of equivariant symplectomorphisms of S 2
Chakravarthy, Pranav, Pinsonnault, Martin   +1 more
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Singular locus of rational ruled surfaces

, 2001
We prove that the morphism that maps a rational ruled surface to its singular locus is genericaly injective modulo isomophism and duality. We also calculate the dimension and the degre of its image.
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