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Compact ovoids in quadrangles. II: The classical quadrangles (Q1972301)

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scientific article; zbMATH DE number 1436011
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English
Compact ovoids in quadrangles. II: The classical quadrangles
scientific article; zbMATH DE number 1436011

    Statements

    Compact ovoids in quadrangles. II: The classical quadrangles (English)
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    26 April 2000
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    This is a direct continuation of part I [\textit{L. Kramer} and \textit{H. van Maldeghem}, Geom. Dedicata 78, No. 3, 279-300 (1999; Zbl 0942.51007)]. The author decides which of the classical compact connected quadrangles contain closed ovoids (or dually, closed spreads). In most cases, the existence of a closed ovoid implies that the point set can be partitioned into closed ovoids. The non-existence results use algebraic topology, viz. results on sections for Stiefel manifolds. Some of the spreads constructed appear to be new.
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    generalized quadrangle
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    ovoids
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    spreads
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