Caps on Hermitian varieties and maximal curves

Hirschfeld, James W P and Korchmáros, Gábor (2003) Caps on Hermitian varieties and maximal curves. Advances in Geometry, 3 (s1). pp. 206-214. ISSN 1615-715X

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Abstract

A lower bound for the size of a complete cap of the polar space H(n,q²) associated to the non-degenerate Hermitian variety Un is given; this turns out to be sharp for even q when n=3. Also, a family of caps of H(n,q²) is constructed from Fq²-maximal curves. Such caps are complete for q even, but not necessarily for q odd.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics
Depositing User: James Hirschfeld
Date Deposited: 17 Oct 2014 16:03
Last Modified: 07 Mar 2017 05:36
URI: http://sro.sussex.ac.uk/id/eprint/50639

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