Article ID Journal Published Year Pages File Type
4650878 Discrete Mathematics 2008 4 Pages PDF
Abstract

In this paper all Veronesean caps of projective spaces of finite dimension over skewfields are classified. More precisely, if PG(M,K)PG(M,K), K a skewfield, contains a Veronesean cap X, then K is a field and X is either a Veronese variety or a projection of a Veronese variety. This result extends analogous theorems of Mazzocca and Melone [Caps and Veronese varieties in projective Galois spaces. Discrete Math. 48 (1984) 243–252] and Thas and Van Maldeghem [Classification of finite Veronesean caps, European J. Combin. 25(2) (2004) 275–285] for finite projective spaces.

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Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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