Degenerate conics revisited | Zendy

Hans Havlicek | Zendy

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Degenerate conics revisited

Author(s) -

Hans Havlicek

Publication year - 1990

Publication title -

journal of geometry

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.395

H-Index - 22

eISSN - 1420-8997

pISSN - 0047-2468

DOI - 10.1007/bf01222894

Subject(s) - conic section , degenerate energy levels , mathematics , skew , pure mathematics , algebraic number , projective plane , field (mathematics) , degree (music) , algebra over a field , combinatorics , geometry , mathematical analysis , computer science , physics , quantum mechanics , telecommunications , acoustics , correlation

In a desarguesian projective plane we discuss those degenerate conics whose parameters have degree two over the centre of the underlying skew field. Such degenerate conics are closely related with Baer subplanes. This relationship enables us to improve and reformulate in a geometric language some theorems which previously have been established in a purely algebraic way. A geometric description of the family of fundamental chains of these degenerate conies is given.

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