Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4655277 | Journal of Combinatorial Theory, Series A | 2015 | 17 Pages |
Abstract
We explain the connection between dual pseudo-ovals and elation Laguerre planes and show that an elation Laguerre plane is ovoidal if and only if it arises from an elementary dual pseudo-oval. The main theorem of this paper shows that a pseudo-(hyper)oval in PG(3nâ1,q), where q is even and n is prime, such that every element induces a Desarguesian spread, is elementary. As a corollary, we give a characterisation of certain ovoidal Laguerre planes in terms of the derived affine planes.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Sara Rottey, Geertrui Van de Voorde,