Partial Ovoids and Partial Spreads of Classical Finite Polar Spaces

De Beule, J.; Metsch, K.; Klein, A.; Storme, L.

Serdica Mathematical Journal (2008)

  • Volume: 34, Issue: 4, page 689-714
  • ISSN: 1310-6600

Abstract

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2000 Mathematics Subject Classification: 05B25, 51E20.We survey the main results on ovoids and spreads, large maximal partial ovoids and large maximal partial spreads, and on small maximal partial ovoids and small maximal partial spreads in classical finite polar spaces. We also discuss the main results on the spectrum problem on maximal partial ovoids and maximal partial spreads in classical finite polar spaces.The research of the fourth author was also supported by the Project Combined algorithmic and the oretical study of combinatorial structur es between the Fund for Scientific Research Flanders-Belgium (FWO-Flanders) and the Bulgarian Academy of Sciences

How to cite

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De Beule, J., et al. "Partial Ovoids and Partial Spreads of Classical Finite Polar Spaces." Serdica Mathematical Journal 34.4 (2008): 689-714. <http://eudml.org/doc/281499>.

@article{DeBeule2008,
abstract = {2000 Mathematics Subject Classification: 05B25, 51E20.We survey the main results on ovoids and spreads, large maximal partial ovoids and large maximal partial spreads, and on small maximal partial ovoids and small maximal partial spreads in classical finite polar spaces. We also discuss the main results on the spectrum problem on maximal partial ovoids and maximal partial spreads in classical finite polar spaces.The research of the fourth author was also supported by the Project Combined algorithmic and the oretical study of combinatorial structur es between the Fund for Scientific Research Flanders-Belgium (FWO-Flanders) and the Bulgarian Academy of Sciences},
author = {De Beule, J., Metsch, K., Klein, A., Storme, L.},
journal = {Serdica Mathematical Journal},
keywords = {Partial Ovoids; Partial Spreads; Classical Finite Polar Spaces; partial ovoids; partial spreads; classical finite polar spaces},
language = {eng},
number = {4},
pages = {689-714},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Partial Ovoids and Partial Spreads of Classical Finite Polar Spaces},
url = {http://eudml.org/doc/281499},
volume = {34},
year = {2008},
}

TY - JOUR
AU - De Beule, J.
AU - Metsch, K.
AU - Klein, A.
AU - Storme, L.
TI - Partial Ovoids and Partial Spreads of Classical Finite Polar Spaces
JO - Serdica Mathematical Journal
PY - 2008
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 34
IS - 4
SP - 689
EP - 714
AB - 2000 Mathematics Subject Classification: 05B25, 51E20.We survey the main results on ovoids and spreads, large maximal partial ovoids and large maximal partial spreads, and on small maximal partial ovoids and small maximal partial spreads in classical finite polar spaces. We also discuss the main results on the spectrum problem on maximal partial ovoids and maximal partial spreads in classical finite polar spaces.The research of the fourth author was also supported by the Project Combined algorithmic and the oretical study of combinatorial structur es between the Fund for Scientific Research Flanders-Belgium (FWO-Flanders) and the Bulgarian Academy of Sciences
LA - eng
KW - Partial Ovoids; Partial Spreads; Classical Finite Polar Spaces; partial ovoids; partial spreads; classical finite polar spaces
UR - http://eudml.org/doc/281499
ER -

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