Andrè flat flocks


It is shown that the every plane of the class of Andrè planes of order q<sup>n</sup> corresponds to a flat flock of a Segre variety Sn-1,n-1 over GF(q) if and only if n is divisible by q-1. 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

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