منابع مشابه
Rational Linking and Contact Geometry
In the note we study Legendrian and transverse knots in rationally null-homologous knot types. In particular we generalize the standard definitions of self-linking number, Thurston-Bennequin invariant and rotation number. We then prove a version of Bennequin’s inequality for these knots and classify precisely when the Bennequin bound is sharp for fibered knot types. Finally we study rational un...
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Simple geometric objects and transformations appear in representations and algorithms of geometric facilities in computer applications such as modelling, robotics, or graphics. Usually, these applications only support objects and transformations fully describable by rational parameters, and a computer display of points of the objects at least implicitly requires points with rational coordinates...
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We study the projective space S of rational parameter representations of degree d or less in real projective space P. The parameter representations of degree less than d form a special algebraic variety K1. We investigate the subspaces on K1 and their relation to rational curves in P, give a geometric characterization of the automorphism group of K1 and outline applications of the theory to pro...
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The classification of minimal rational surfaces and the birational links between them by Iskovskikh, Manin and others is a well-known subject in the theory of algebraic surfaces. We explain algorithms that realise links of type II between minimal del Pezzo surfaces, one of the major classes of birational links, and we describe briefly how this fits into a large project to implement the results ...
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ژورنال
عنوان ژورنال: Science
سال: 1905
ISSN: 0036-8075,1095-9203
DOI: 10.1126/science.21.527.183