#### 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
##### Abstract

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 ${ℙ}^{9}$ to ${ℙ}^{8}$ induces an isomorphism of algebraic varieties from the quadratic Veronese embedding of ${ℙ}^{3}$ to the standard embedding of the orthogonal Grassmanian of lines of a quadric in ${ℙ}^{4}$.

##### Keywords
Grassmann embedding, Veronese embedding, morphisms, Klein quadric, Plücker coordinates
##### Mathematical Subject Classification 2010
Primary: 14M15, 20G15, 51B25