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Derivation techniques on the Hermitian surface

โœ Scribed by A. Cossidente; G. L. Ebert; G. Marino


Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
137 KB
Volume
15
Category
Article
ISSN
1063-8539

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โœฆ Synopsis


Abstract

We discuss derivationโ€like techniques for transforming one locally Hermitian partial ovoid of the Hermitian surface H(3,q^2^) into another one. These techniques correspond to replacing a regulus by its opposite in some naturally associated projective 3โ€space PG(3,q) over a square root subfield. ยฉ 2006 Wiley Periodicals, Inc. J Combin Designs 15: 478โ€“486, 2007


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## Abstract An interesting connection between special sets of the Hermitian surface of PG(3,__q__^2^), __q__ odd, (after Shult 13) and indicator sets of lineโ€spreads of the threeโ€dimensional projective space is provided. Also, the CPโ€type special sets are characterized. ยฉ 2007 Wiley Periodicals, In