Feet in orthogonal-Buekenhout-Metz unitals

作者：Abarzua N; Pomareda R; Vega O^*

来源：Advances in Geometry, 2018, 18(2): 229-236.

DOI：10.1515/advgeom-2017-0050

• Unitals
• projective planes

Given an orthogonal-Buekenhout-Metz unital U-alpha,U-beta, embedded in PG(2, q(2)), and a point P is not an element of U-alpha,U-beta, we study the set tau(p)(U-alpha,U-beta) of feet of P in U-alpha,U-beta. We characterize geometrically each of these sets as either q + 1 collinear points or as q + 1 points partitioned into two arcs. Other results about the geometry of these sets are also given.

• 出版日期2018-4