A Remark on Quadrics in Projective Klingenberg Spaces over a Certain Local Algebra

Marek Jukl
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Marek Jukl: Department of Algebra and Geometry, Faculty of Science, Palacký University Olomouc, 71146 Olomouc, Czech Republic

Mathematics, 2020, vol. 8, issue 12, 1-7

Abstract: This article is devoted to some polar properties of quadrics in the projective Klingenberg spaces over a local ring which is a linear algebra generated by one nilpotent element. In this case, polar subspaces are described; the notion “degree of neighborhood” is used for the geometric description of polar subspaces of quadrics. The polarity induced by a quadric is also studied.

Keywords: projective Klingenberg space; point; hyperplane; local ring; plural algebra; A-space; neighbor points; order of the quadratic form; quadric; polarity; characteristic of the quadratic form (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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