A Note on Lax Projective Embeddings of Grassmann Spaces

Ferrara Dentice, Eva. "A Note on Lax Projective Embeddings of Grassmann Spaces." Rendiconto dell’Accademia delle Scienze Fisiche e Matematiche 85.1 (2018): 5-7. <http://eudml.org/doc/296736>.

@article{FerraraDentice2018,
abstract = {In the paper (Ferrara Dentice et al., 2004) a complete exposition of the state of the art for lax embeddings of polar spaces of finite rank $\ge 3$ is presented. As a consequence, we have that if a Grassmann space $G$ of dimension 3 and index 1 has a lax embedding in a projective space over a skew–field $K$, then $G$ is the Klein quadric defined over a subfield of $K$. In this paper, I examine Grassmann spaces of arbitrary dimension $d \ge 3$ and index $h \ge 1$ having a lax embedding in a projective space.},
author = {Ferrara Dentice, Eva},
journal = {Rendiconto dell’Accademia delle Scienze Fisiche e Matematiche},
keywords = {Grassmann spaces; Lax embeddings},
language = {eng},
month = {12},
number = {1},
pages = {5-7},
publisher = {Società Nazione di Scienze, Lettere e Arti in Napoli; Giannini},
title = {A Note on Lax Projective Embeddings of Grassmann Spaces},
url = {http://eudml.org/doc/296736},
volume = {85},
year = {2018},
}

TY - JOUR
AU - Ferrara Dentice, Eva
TI - A Note on Lax Projective Embeddings of Grassmann Spaces
JO - Rendiconto dell’Accademia delle Scienze Fisiche e Matematiche
DA - 2018/12//
PB - Società Nazione di Scienze, Lettere e Arti in Napoli; Giannini
VL - 85
IS - 1
SP - 5
EP - 7
AB - In the paper (Ferrara Dentice et al., 2004) a complete exposition of the state of the art for lax embeddings of polar spaces of finite rank $\ge 3$ is presented. As a consequence, we have that if a Grassmann space $G$ of dimension 3 and index 1 has a lax embedding in a projective space over a skew–field $K$, then $G$ is the Klein quadric defined over a subfield of $K$. In this paper, I examine Grassmann spaces of arbitrary dimension $d \ge 3$ and index $h \ge 1$ having a lax embedding in a projective space.
LA - eng
KW - Grassmann spaces; Lax embeddings
UR - http://eudml.org/doc/296736
ER -