Open AccessHyperplanes, parallelism, and related problems in Veronese spaces
Author(s) -
Krzysztof Petelczyc,
Krzysztof Prażmowski,
Małgorzata Prażmowska,
Mariusz Żynel
Publication year - 2018
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1703-55
Subject(s) - hyperplane , mathematics , affine transformation , parallelism (grammar) , projective test , affine space , pure mathematics , projective space , combinatorics , computer science , parallel computing
We determine hyperplanes in Veronese spaces associated with projective spaces and polar spaces, and we analyze the geometry of parallelisms induced by these hyperplanes. We also discuss whether or not parallelisms on Veronese spaces associated with affine spaces can be imposed.
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