Lines in 3-space

Andrea Blunck; Silvia Pianta

Lines in 3-space

Andrea Blunck, Silvia Pianta

Università Cattolica del Sacro Cuore

Research output: Contribution to journal › Article › peer-review

Abstract

We describe the set of lines of the three dimensional projective space over a not necessarily commutative field K as the projective line over the ring Mat(2,K) of 2x2-matrices with entries in K. Using this description, we investigate some families of lines such as reguli and spreads.

Original language	English
Pages (from-to)	189-202
Number of pages	14
Journal	MITTEILUNGEN DER MATHEMATISCHEN GESELLSCHAFT IN HAMBURG
Publication status	Published - 2008

Keywords

parallelism
projective line
projective space

Cite this

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title = "Lines in 3-space",

abstract = "We describe the set of lines of the three dimensional projective space over a not necessarily commutative field K as the projective line over the ring Mat(2,K) of 2x2-matrices with entries in K. Using this description, we investigate some families of lines such as reguli and spreads.",

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author = "Andrea Blunck and Silvia Pianta",

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AU - Pianta, Silvia

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KW - projective line

KW - projective space

KW - parallelism

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KW - projective space

UR - http://hdl.handle.net/10807/8031

M3 - Article

SN - 0340-4358

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JO - MITTEILUNGEN DER MATHEMATISCHEN GESELLSCHAFT IN HAMBURG

JF - MITTEILUNGEN DER MATHEMATISCHEN GESELLSCHAFT IN HAMBURG

ER -

Lines in 3-space

Abstract

Keywords

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