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On ovoids of PG(3, q)
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Simeon Ball
Veröffentlicht/Copyright:
17. Mai 2006
Abstract
We give necessary and sufficient conditions that a polynomial f (x, y) gives an ovoid of PG(3, q). Furthermore by considering Rédei polynomials associated to ovoids of PG(3, q) we obtain sets of equations relating the coefficients of f (x, y). One such set of equations implies that if xiyj occurs as a term in f (x, y) + xy then i and j must have disjoint binary expansions.
Received: 2003-06-18
Revised: 2005-01-13
Published Online: 2006-05-17
Published in Print: 2006-03-26
© Walter de Gruyter
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Artikel in diesem Heft
- On ovoids of PG(3, q)
- Real algebraic morphisms on 2-dimensional conic bundles
- Interpolation of homogeneous polynomials over a finite field
-
Extensions of isomorphisms for affine Grassmannians over
- Geodesics in non-positively curved plane tessellations
- Elation generalized quadrangles of order (q, q2), q even, with a classical subquadrangle of order q
-
Gorenstein liaison in
- Flat manifolds, harmonic spinors, and eta invariants
- Cremona convexity, frame convexity and a theorem of Santaló
- Two-transitive ovals
Artikel in diesem Heft
- On ovoids of PG(3, q)
- Real algebraic morphisms on 2-dimensional conic bundles
- Interpolation of homogeneous polynomials over a finite field
-
Extensions of isomorphisms for affine Grassmannians over
- Geodesics in non-positively curved plane tessellations
- Elation generalized quadrangles of order (q, q2), q even, with a classical subquadrangle of order q
-
Gorenstein liaison in
- Flat manifolds, harmonic spinors, and eta invariants
- Cremona convexity, frame convexity and a theorem of Santaló
- Two-transitive ovals
