We prove that a set O of points of PG(3, q), q odd, of line-type (0, m, n)_1, n not equal q, with a point on which there are at most q + 1 lines intersecting O in exactly m points is either an elliptic quadric or n = q + 1 and O is the complement of a line in PG(3, q).
A new characterization of elliptic quadrics in PG(3; q), q odd.
Vito Napolitano
2018
Abstract
We prove that a set O of points of PG(3, q), q odd, of line-type (0, m, n)_1, n not equal q, with a point on which there are at most q + 1 lines intersecting O in exactly m points is either an elliptic quadric or n = q + 1 and O is the complement of a line in PG(3, q).File in questo prodotto:
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