Andrè flat flocks

Authors

  • Vikram Jha
  • Norman L. Johnson

DOI:

https://doi.org/10.1285/i15900932v24n2p135

Keywords:

Andrè planes, Flat flocks, $(A, B)$-regular spreads, Segre varieties

Abstract

It is shown that the every plane of the class of Andrè planes of order $qn$ 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.

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Published

25-10-2005

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Section

Articoli