Andrè flat flocks
Abstract
It is shown that the every plane of the class of Andrè planes of order 
corresponds to a flat flock of a Segre variety Sn-1,n-1 over 
if and only if n is divisible by 
. In addition, there are large numbers of generalized Andrè planes onstructed that produce flat flocks.
corresponds to a flat flock of a Segre variety Sn-1,n-1 over if and only if n is divisible by . In addition, there are large numbers of generalized Andrè planes onstructed that produce flat flocks.DOI Code:
10.1285/i15900932v24n2p135
Keywords:
Andrè planes; Flat flocks; $(A,B)$-regular spreads; Segre varieties
Classification:
51E23; 51A40
Full Text: PDF
