The plane degree g_K(2) of a subset K of PG(3, q) is the greatest integer such that at least a plane intersecting K in exactly gK(2) points exists. It this note, (q + 1)–arcs of PG(3, q) (that is twisted cubics when q is odd) are characterized as (q +1)–sets of type (0, 1, s)_1 of PG(3, q) of minimal plane degree.
Note on a class of (q+1)-sets of PG(3, q)
NAPOLITANO, Vito
2014
Abstract
The plane degree g_K(2) of a subset K of PG(3, q) is the greatest integer such that at least a plane intersecting K in exactly gK(2) points exists. It this note, (q + 1)–arcs of PG(3, q) (that is twisted cubics when q is odd) are characterized as (q +1)–sets of type (0, 1, s)_1 of PG(3, q) of minimal plane degree.File in questo prodotto:
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