Caps on Hermitian varieties and maximal curves
journal contributionposted on 2023-06-08, 18:44 authored by James W P Hirschfeld, Gábor Korchmáros
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.
JournalAdvances in Geometry
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- Mathematics Publications
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