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Caps on Hermitian varieties and maximal curves
journal contribution
posted on 2023-06-08, 18:44 authored by James W P Hirschfeld, Gábor KorchmárosA 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.
History
Publication status
- Published
Journal
Advances in GeometryISSN
1615-715XPublisher
De GruyterExternal DOI
Issue
s1Volume
3Page range
206-214Pages
9.0Department affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes