Mathematical Sciences Seminar - Veronesean representations of Moufang planes
When:
—
Venue:
Birkbeck Main Building, Malet Street
No booking required
In 1901 Severi proved the complex quadric Veronese variety is determined by three algebraic/differential geometric properties. In 1984 Mazzocca and Melone obtained a combinatorial analogue of this result for finite quadric Veronese varieties. We make further abstraction of these properties to characterize Veronesean representations of all the Moufang projective planes defined over a quadratic alternative division algebra over an arbitrary field. In the process, new Veroneseans over a non-perfect field of characteristic 2 (related to purely inseparable field extensions) are found.
Contact name:
Department of Economics, Mathematics and Statistics