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The coordinatization of affine planes by rings

โœ Scribed by Stefan E. Schmidt; Ralph Steinitz


Publisher
Springer
Year
1996
Tongue
English
Weight
853 KB
Volume
62
Category
Article
ISSN
0046-5755

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Poisson Cohomology of the Affine Plane
โœ Claude Roger; Pol Vanhaecke ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 114 KB

We compute the Poisson cohomology of homogeneous Poisson structures on the plane. The singular locus of such a Poisson structure consists of a family of lines passing through O, and we show how the dimensions of the first and second cohomology groups are related to the weight of O as a singular poin