4 papers
The generating rank of a polar Grassmannian
Ilaria Cardinali, Luca Giuzzi, Antonio Pasini
In this paper we compute the generating rank of -polar Grassmannians defined over commutative division rings. Among the new results, we compute the generating rank of -Grassm…
An outline of polar spaces: basics and advances
Ilaria Cardinali
This paper is an extended version of a series of lectures on polar spaces given during the workshop and conference 'Groups and Geometries', held at the Indian Statistical Institute…
Embeddings of Line-grassmannians of Polar Spaces in Grassmann Varieties
Ilaria Cardinali, Antonio Pasini
An embedding of a point-line geometry Γis usually defined as an injective mapping εfrom the point-set of Γto the set of points of a projective space such that ε(l) is a projective…
Veronesean embeddings of dual polar spaces of orthogonal type
Ilaria Cardinali, Antonio Pasini
Given a point-line geometry P and a pappian projective space S,a veronesean embedding of P in S is an injective map e from the point-set of P to the set of points of S mapping the…