On partial ovoids of Hermitian surfaces

Aguglia, A.; Ebert, G. L.; Luyckx, D.

Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, p. 641-650 / Harvested from Project Euclid

Résumé

Lower bounds for the size of a complete partial ovoid in a non-degenerate Hermitian surface are obtained. For even characteristic, a sharp bound is obtained and all examples of this size are described. Next, a general construction method for locally hermitian partial ovoids is explained, which leads to interesting small examples. Finally, a conjecture is given for the size of the largest complete strictly partial ovoid. By using partial derivation, several examples of complete strictly partial ovoids of this size are provided.

Publié le : 2006-01-14
Classification:

@article{1136902602,
     author = {Aguglia, A. and Ebert, G. L. and Luyckx, D.},
     title = {On partial ovoids of Hermitian surfaces},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {12},
     number = {5},
     year = {2006},
     pages = { 641-650},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1136902602}
}

Aguglia, A.; Ebert, G. L.; Luyckx, D. On partial ovoids of Hermitian surfaces. Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, pp.  641-650. http://gdmltest.u-ga.fr/item/1136902602/