A characterization of the Grassmann embedding of H(q), with q even

作者：De Wispelaere A; Thas J A^*; Van Maldeghem H

来源：Designs, Codes and Cryptography, 2010, 55(2-3): 121-130.

DOI：10.1007/s10623-009-9336-5

• Generalized hexagon
• Grassmann embedding
• Veronese surface

In this note, we characterize the Grassmann embedding of H(q), q even, as the unique full embedding of H(q) in PG(12, q) for which each ideal line of H(q) is contained in a plane. In particular, we show that no such embedding exists for H(q), with q odd. As a corollary, we can classify all full polarized embeddings of H(q) in PG(12, q) with the property that the lines through any point are contained in a solid; they necessarily are Grassmann embeddings of H(q), with q even.

• 出版日期2010-5