Results 11 to 20 of about 270 (180)
Billiards in confocal quadrics as a Pluri-Lagrangian system [PDF]
We illustrate the theory of one-dimensional pluri-Lagrangian systems with the example of commuting billiard maps in confocal quadrics.
Suris Yuri B.
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Plane section of cone and cylinder in computer geometry [PDF]
In this paper a mathematical apparatus for determination of plane section of cone and cylinder was formed. By using the descriptive geometric approach the contour lines of these quadrics were determined.
Obradović Ratko M., Milojević Zoran
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AbstractAn intrinsic quadric is a normal projective variety with a Cox ring defined by a single quadratic relation. We provide explicit descriptions of these varieties in the smooth case for small Picard numbers. As applications, we figure out in this setting the Fano examples and (affirmatively) test Fujita’s freeness conjecture.
Fahrner, Anne, Hausen, Jürgen
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We use Bott's residue formula to infer that a general cubic surface in the projective space P^3_C contains exactly twenty seven lines and that a general complete intersection of two quadrics in P^4_C contains exactly sixteen lines.
Mustapha Lahyane +2 more
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All minimal [9,4] 2 -codes are hyperbolic quadrics
Minimal codes are being intensively studied in last years. [n,k]q-minimal linear codes are in bijection with strong blocking sets of size n in PG(k−1,q)and a lower bound for the size of strong blocking sets is given by (k−1)(q+1)≤n.
Valentino Smaldore
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TOPOLOGY OF QUADRIC BUNDLES [PDF]
41 pages, LaTeX. Final version to appear in International Journal of Mathematics.
Holla, Yogish I., Nitsure, Nitin
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Graphic representation of a triaxial ellipsoid by means of a sphere in general collinear spaces [PDF]
For graphic representation of the projective creations, such as the quadrics (II degree surfaces) in projective, general collinear spaces, it is necessary to firstly determine the characteristic parameters, such as: vanishing planes, axes and centers ...
Krasić Sonja, Marković Biserka
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Quadric complexes are square complexes satisfying a certain combinatorial nonpositive curvature condition. These complexes generalize 2-dimensional CAT(0) cube complexes and are a square analog of systolic complexes. We introduce and study the basic properties of these complexes.
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Singular spin structures and superstrings
There are two main problems in finding the higher genus superstring measure. The first one is that for g ≥ 5 the super moduli space is not projected. Furthermore, the supermeasure is regular for g ≤ 11, a bound related to the source of singularities due ...
Marco Matone
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Cyclic surfaces accompanying non-ruled quadrics of rotation
The paper considers the shaping of cyclic surfaces based on nonlinear rotation, in which the axis of rotation and the generatrix in the general case are three-dimensional smooth curves. As a tool for shaping surfaces of non-linear rotation, the method of
K. L. Panchuk +2 more
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