In a projective plane PG(2,K) over an algebraically closed field K of characteristic p≥0, let Ω be a pointset of size n with 5≤n≤9. The coset intersection problem relative to Ω is to determine the family F of irreducible cubics in PG(2,K) for which Ω is a common coset of a subgroup of the additive group (F,+) for every F∈F. In this paper, a complete solution of this problem is given.
Coset intersection of irreducible plane cubics
KORCHMAROS, Gabor;
2014-01-01
Abstract
In a projective plane PG(2,K) over an algebraically closed field K of characteristic p≥0, let Ω be a pointset of size n with 5≤n≤9. The coset intersection problem relative to Ω is to determine the family F of irreducible cubics in PG(2,K) for which Ω is a common coset of a subgroup of the additive group (F,+) for every F∈F. In this paper, a complete solution of this problem is given.File in questo prodotto:
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