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math.RT2020
Nearly all subspaces of a classical polar space arise from its universal embedding
Ilaria Cardinali, Luca Giuzzi, Antonio Pasini
Let be an embeddable non-degenerate polar space of finite rank . Assuming that admits the universal embedding (which is true for all embeddable polar spaces excep…
math.RT2019
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…
math.RT2013
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…