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On the mutual position of two irreducible conics in PG(2, q), q odd
-
V. Abatangelo
,
J. C. Fisher
Published/Copyright:
August 12, 2011
Abstract
Given an irreducible conic 
in PG(2, q) with q odd, how many points of another irreducible conic 𝒟 in PG(2, q) are external to ? It is not hard to find 𝒟 such that either all its points off are external to , or none of its points are. Apart from these cases, we prove that for q large enough, the number we seek differs from 
by at most 
.
Received: 2009-07-08
Published Online: 2011-08-12
Published in Print: 2011-November
© de Gruyter 2011
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Articles in the same Issue
- Quasigeodesics and farthest points on convex surfaces
- The geometry of canal surfaces and the length of curves in de Sitter space
- On the mutual position of two irreducible conics in PG(2, q), q odd
- On the symmetric average of a convex body
- Ample vector bundles and polarized manifolds of sectional genus three
- Flat Laguerre planes of Kleinewillinghöfer type III.B
- Quotients of hypersurfaces in weighted projective space
- Characterizing the mixed volume
- Uniqueness of lattice packings and coverings of extreme density
- On the classification of convex lattice polytopes
- Blichfeldt-type inequalities and central symmetry
- Valuations on function spaces
