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On the incidence structures of polar spaces and quadrics.

Ferrara Dentice, Eva — 2002

Advances in Geometry

A Note on Lax Projective Embeddings of Grassmann Spaces

Eva Ferrara Dentice — 2018

Rendiconto dell’Accademia delle Scienze Fisiche e Matematiche

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 $\geq 3$ 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 $d\geq 3$ and index $h\geq 1$ having a lax embedding in a projective space.

Sugli isomorfismi tra spazi di Grassman

Eva Ferrara Dentice; Nicola Melone — 1999

Bollettino dell'Unione Matematica Italiana

In this paper we prove that any incidence-preserving bijection between the line sets of Grassmann spaces is induced by either a collineation or a correlation.

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Currently displaying 1 – 3 of 3

On the incidence structures of polar spaces and quadrics.

A Note on Lax Projective Embeddings of Grassmann Spaces

Sugli isomorfismi tra spazi di Grassman