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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 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.

History

Publication status

  • Published

Journal

Advances in Geometry

ISSN

1615-715X

Publisher

De Gruyter

Issue

s1

Volume

3

Page range

206-214

Pages

9.0

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2014-10-17

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