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1. Completeness of cubic curves in PG(2, q), q <= 81

Author

Bartoli, Daniele, Marcugini, Stefano, and Pambianco, Fernanda

Subjects
Mathematics - Combinatorics, 51E20, 94B05, 14H52
Abstract

Theoretical results are known about the completeness of a planar algebraic cubic curve as a (n,3)-arc in PG(2,q). They hold for q big enough and sometimes have restriction on the characteristic and on the value of the j-invariant. We determine the completeness of all cubic curves for q <= 81.

Published
2015

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