Search results for "Rational normal curve"

showing 2 items of 2 documents

Generically split projective homogeneous varieties. II

2012

AbstractThis article gives a complete classification of generically split projective homogeneous varieties. This project was begun in our previous article [PS10], but here we remove all restrictions on the characteristic of the base field, give a new uniform proof that works in all cases and in particular includes the case PGO2n+ which was missing in [PS10].

Pure mathematicsAlgebra and Number TheoryCollineationComplex projective spaceProjective lineProjective spaceGeometry and TopologyRational normal curveQuaternionic projective spaceProjective varietyMathematicsTwisted cubicJournal of K-Theory
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On a projective representation of chain geometries

1984

We define a distance d on the set of r-spaces of an n-space. By the transfer of d to the GrasmannianG=G(n, r) we obtain a distinguished class of normal rational curves of order 1, the “1-distance lines’, 1=1,..., r, which are in 1–1-correspondence to the so-called “generalized reguli of type (r, 1)”.

Set (abstract data type)Discrete mathematicsTransfer (group theory)Class (set theory)Pure mathematicsChain (algebraic topology)Order (group theory)Geometry and TopologyType (model theory)Rational normal curveProjective representationMathematicsJournal of Geometry
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