Abstract
This last chapter deals with a particular case of dualized geometries, when the set of closed hyperplanes is given by a polarity. The so obtained orthogeometries can be equivalently described by an orthogonality relation ┴, as shown in Section 14.1. The typical example of an orthogeometry is the projective geometry associated to a vector space equipped with a non-singular reflexive sesquilinear form. Moreover, one can choose either an alternating bilinear form or a Hermitian form.
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© 2000 Springer Science+Business Media Dordrecht
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Faure, CA., Frölicher, A. (2000). Orthogonality. In: Modern Projective Geometry. Mathematics and Its Applications, vol 521. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9590-2_14
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DOI: https://doi.org/10.1007/978-94-015-9590-2_14
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5544-6
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