On the mutual position of two irreducible conics in PG(2, q), q odd-Reference-Cited by-同舟云学术

On the mutual position of two irreducible conics in PG(2, q), q odd

Published:2011-08-12 Issue:4 Volume:11 Page:603-614
ISSN:1615-7168
Container-title:advg
language:en
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Author:

Abatangelo V.¹,Fisher J. C.²,Korchmáros G.³,Larato B.¹

Affiliation:

1. Dipartimento di Matematica, Politecnico di Bari, Via Orbona 4, 70125 Bari, Italy

2. Department of Mathematics, University of Regina, Regina, Canada S4D 0A2

3. Dipartimento di Matematica e Informatica, Università della Basilicata, Campus Macchia Romana, Viale dell'Ateneo Lucano 10, 85100 Potenza, Italy

Abstract

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 .

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/advgeom.2011.022/pdf

Reference1 articles.

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