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On the embeddability of polar spaces

โœ Scribed by Hans Cuypers; Peter Johnson; Antonio Pasini

Publisher
Springer
Year
1992
Tongue
English
Weight
539 KB
Volume
44
Category
Article
ISSN
0046-5755

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โœฆ Synopsis

We show that every nondegenerate polar space of rank at least 4 with at least three points on each line can be embedded in a projective space. Together with some results from [9] and 1-12], this provides a particularly elementary proof that any such polar space is of classical type. Our methods involve the use of geometric hyperplanes and work equally well for spaces of finite or infinite rank.

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