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Regularity bounds by minimal generators and Hilbert function

✍ Scribed by F. Cioffi; M. G. Marinari; L. Ramella

Book ID
105731972
Publisher
Universitat de Barcelona
Year
2009
Tongue
Spanish
Weight
227 KB
Volume
60
Category
Article
ISSN
0010-0757

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For a simplicial subdivision ⌬ of a region in R 2 , we analyze the dimension of the r Ž . r Ž . vector space C ⌬ of C piecewise polynomial functions splines on ⌬ of degree k at most k. We find an exact sequence which allows us to prove that the dimension w Ž . series for splines given by Billera and