Several infinite families of (0,α)-sets, α≥1, of finite classical and non-classical generalized quadrangles are constructed. When α=1 a (0,α)-set of a generalized quadrangle is a partial ovoid. We construct a maximal partial ovoid of H(4,q2), for any q, of size 2q3+q2+1, which generalizes the unique largest partial ovoid of H(4,4) of size 21 found in [11], and a maximal partial ovoid of Q-(5,q) of size (q+1)2, for any q. A tight set of a GQ(q-1,q+1) is also provided.
On (0, alpha)-sets of generalized quadrangles
COSSIDENTE, Antonio;
2014-01-01
Abstract
Several infinite families of (0,α)-sets, α≥1, of finite classical and non-classical generalized quadrangles are constructed. When α=1 a (0,α)-set of a generalized quadrangle is a partial ovoid. We construct a maximal partial ovoid of H(4,q2), for any q, of size 2q3+q2+1, which generalizes the unique largest partial ovoid of H(4,4) of size 21 found in [11], and a maximal partial ovoid of Q-(5,q) of size (q+1)2, for any q. A tight set of a GQ(q-1,q+1) is also provided.File in questo prodotto:
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