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Lax Projective Embeddings of Polar Spaces

Authors:	Eva?Ferrara?Dentice author-information" > author-information__contact u-icon-before" > mailto:eva.ferraradentice@unina.it" title=" eva.ferraradentice@unina.it" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Giuseppe?Marino,Antonio?Pasini

Affiliation:	(1) Dipartimento di Matematica, Seconda Università di Napoli, via Vivaldi, 43, 81100 Caserta, Italy;(2) Dipartimento di Matematica R. Caccioppoli, Università di Napoli Federico II, via Cintia, 80126 Napoli, Italy;(3) Dipartimento di Matematica, Università di Siena, Pian dei Matellini, 22, 53100 Siena, Italy

Abstract:	Let be a non-degenerate polar space of rank n 3 where all of its lines have at least three points. We prove that, if admits a lax embedding e : in a projective space defined over a skewfield K, then is a classical and defined over a sub-skewfield K₀ of K. Accordingly, admits a full embedding e₀ in a K₀-projective space ₀. We also prove that, under suitable hypotheses on e and e₀, there exists an embedding such that and preserves dimensions.Received: March, 2004

Keywords:	Primary 51A45 Secondary 51A50
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