Vol. 14, No. 1, 2015

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A remark on Grassmann and Veronese embeddings of PG(3,F) in characteristic 2

Ogül Arslan and Peter Sin

Vol. 14 (2015), No. 1, 111–117

We answer a question raised in a recent paper by I. Cardinali and A. Pasini. Over an algebraically closed field of characteristic 2, we show that a certain projection of 9 to 8 induces an isomorphism of algebraic varieties from the quadratic Veronese embedding of 3 to the standard embedding of the orthogonal Grassmanian of lines of a quadric in 4.

Grassmann embedding, Veronese embedding, morphisms, Klein quadric, Plücker coordinates
Mathematical Subject Classification 2010
Primary: 14M15, 20G15, 51B25
Received: 9 September 2014
Accepted: 20 March 2015
Ogül Arslan
Peter Sin
Department of Mathematics
University of Florida
Gainesville, FL 32611-8105
United States