Innovations in Incidence Geometry

Bounds on partial ovoids and spreads in classical generalized quadrangles

Abstract

We present an improvement on a recent bound for small maximal partial ovoids of $W ( q 3 )$. We also classify maximal partial ovoids of size $( q 2 − 1 )$ of $Q ( 4 , q )$ which allow a certain large automorphism group, and discuss examples for small $q$.

Article information

Source
Innov. Incidence Geom., Volume 11, Number 1 (2010), 19-33.

Dates
Received: 27 March 2007
Accepted: 22 June 2009
First available in Project Euclid: 28 February 2019

Permanent link to this document
https://projecteuclid.org/euclid.iig/1551323082

Digital Object Identifier
doi:10.2140/iig.2010.11.19

Mathematical Reviews number (MathSciNet)
MR2795055

Zentralblatt MATH identifier
1266.51005

Citation

De Winter, Stefaan; Thas, Koen. Bounds on partial ovoids and spreads in classical generalized quadrangles. Innov. Incidence Geom. 11 (2010), no. 1, 19--33. doi:10.2140/iig.2010.11.19. https://projecteuclid.org/euclid.iig/1551323082

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