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The Veronese Variety and Catalecticant Matrices

โœ Scribed by Mario Pucci


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
237 KB
Volume
202
Category
Article
ISSN
0021-8693

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โœฆ Synopsis


We obtain the ideal of the Veronese variety as the rank-1 determinantal ideal of catalecticant matrices.


๐Ÿ“œ SIMILAR VOLUMES


A dimension formula for the nucleus of a
โœ Johannes Gmainer; Hans Havlicek ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 95 KB

The nucleus of a Veronese variety is the intersection of all its osculating hyperplanes. Various authors have given necessary and sufficient conditions for the nucleus to be empty. We present an explicit formula for the dimension of this nucleus for arbitrary characteristic of the ground field. As a