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Higher dimensional analogues of Klein's quadric

✍ Scribed by T. G. Ostrom

Publisher
Springer
Year
1992
Tongue
English
Weight
487 KB
Volume
41
Category
Article
ISSN
0046-5755

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✦ Synopsis

The basic idea is a mapping from d-dimensional subspaces of a 2d-dimensional vector space onto points in a projective space of dimension (2d)-1. We develop conditions under which a point in the larger projective space is an image point under this mapping. We also develop conditions corresponding to cases where the d-dimensional vector spaces do or do not intersect.

πŸ“œ SIMILAR VOLUMES

Higher-dimensional Analogues of Inoue an
Higher-dimensional Analogues of Inoue and Kodaira Surfaces
✍ G. K. Sankaran πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 611 KB

The ideas of this paper were suggested by the formal likeness between Mumford's toric description of degenerating families of elliptic curves (in [A]) and parabolic Inoue surfaces (first constructed in [In]). The likeness is not readily apparent from [In] but is pointed out in [MO], where a toric co