Results 51 to 60 of about 2,136 (139)

Ruled and rational surfaces and their models

open access: yes
One of the most powerful ideas in the study and classification of algebraic varieties is the notion of a model: that is, to single out an object, in the appropriate isomorphism class, with nice properties. This survey aims to define and study suitable models of rational and, more generally, ruled surfaces in the smooth complex case, and to use them to ...
openaire   +2 more sources

Ample vector bundles and rational surfaces ruled by cubics

open access: yes
Let $X$ be a smooth complex projective variety of dimension $n, \mathscr{E}$ an ample vector bundle on $X$ of rank $n - 2$ with a section vanishing on a smooth surface $Z \subset X$, and $H$ an ample line bundle on $X$ whose restriction $H_Z$ to $Z$ is ...
Antonio Lanteri
core   +1 more source

Rational surfaces in index-one Fano hypersurfaces

open access: yes, 2007
We give the first evidence for a conjecture that a general, index-one, Fano hypersurface is not unirational: (i) a general point of the hypersurface is contained in no rational surface ruled, roughly, by low-degree rational curves, and (ii) a general ...
Jason Starr, Roya Beheshti
core   +1 more source

Rational Ruled surfaces construction by interpolating dual unit vectors representing lines

open access: yes, 2006
In this paper, a new representational model is introduced for the rational family of ruled surfaces in Computer Graphics. The surface parameterization is constructed using the NURBS basis functions and line geometry.
Papageorgiou, Stavros G.   +1 more
core  

Inequivalent Lefschetz fibrations on rational and ruled surfaces

open access: yes, 2018
For 2017 Georgia International Topology Conference ...
openaire   +2 more sources

Alternating groups and rational functions on surfaces

open access: yes, 2006
Let X be a smooth complex projective surface. We prove that for any sufficiently big m there exists a rational dominant map f from X into a complex rational ruled surface Y, such that f is generically finite of degree m and has monodromy the alternating ...
BRIVIO, SONIA, PIROLA, GIAN PIETRO
core  

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