Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4650878 | Discrete Mathematics | 2008 | 4 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Eva Ferrara Dentice, Giuseppe Marino,