Generalized Clifford Parallelisms

Silvia Pianta; Andrea Blunck; Stefano Pasotti

Generalized Clifford Parallelisms

Silvia Pianta
, Andrea Blunck
, Stefano Pasotti

Università Cattolica del Sacro Cuore

Risultato della ricerca: Contributo in rivista › Articolo › peer review

Abstract

We define generalized Clifford parallelisms in PG(3,F) with the help of a quaternion skew field H over a field F of arbitrary characteristic. Moreover we give a geometric description of such parallelisms involving hyperbolic quadrics in projective spaces over suitable quadratic extensions of F.

Lingua originale	Inglese
pagine (da-a)	197-212
Numero di pagine	16
Rivista	INNOVATIONS IN INCIDENCE GEOMETRY
Stato di pubblicazione	Pubblicato - 2010

Keywords

parallelism
projective space
quaternions

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abstract = "We define generalized Clifford parallelisms in PG(3,F) with the help of a quaternion skew field H over a field F of arbitrary characteristic. Moreover we give a geometric description of such parallelisms involving hyperbolic quadrics in projective spaces over suitable quadratic extensions of F.",

keywords = "parallelism, projective space, quaternions, parallelism, projective space, quaternions",

author = "Silvia Pianta and Andrea Blunck and Stefano Pasotti",

year = "2010",

language = "English",

pages = "197--212",

journal = "INNOVATIONS IN INCIDENCE GEOMETRY",

issn = "1781-6475",

publisher = "Academia Press, Ghent",

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T1 - Generalized Clifford Parallelisms

AU - Pianta, Silvia

AU - Blunck, Andrea

AU - Pasotti, Stefano

PY - 2010

Y1 - 2010

N2 - We define generalized Clifford parallelisms in PG(3,F) with the help of a quaternion skew field H over a field F of arbitrary characteristic. Moreover we give a geometric description of such parallelisms involving hyperbolic quadrics in projective spaces over suitable quadratic extensions of F.

AB - We define generalized Clifford parallelisms in PG(3,F) with the help of a quaternion skew field H over a field F of arbitrary characteristic. Moreover we give a geometric description of such parallelisms involving hyperbolic quadrics in projective spaces over suitable quadratic extensions of F.

KW - parallelism

KW - projective space

KW - quaternions

KW - parallelism

KW - projective space

KW - quaternions

UR - http://hdl.handle.net/10807/8026

UR - http://iig.ugent.be/online/volume-11.php

M3 - Article

SN - 1781-6475

SP - 197

EP - 212

JO - INNOVATIONS IN INCIDENCE GEOMETRY

JF - INNOVATIONS IN INCIDENCE GEOMETRY

ER -

Generalized Clifford Parallelisms

Abstract

Keywords

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