On the log-concavity of Hilbert series of Veronese subrings and Ehrhart series
✍ Scribed by Matthias Beck; Alan Stapledon
- Book ID
- 105875396
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- French
- Weight
- 248 KB
- Volume
- 264
- Category
- Article
- ISSN
- 0025-5874
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## Abstract This paper deals mainly with generalizations of results in finitary combinatorics to infinite ordinals. It is well‐known that for finite ordinals ∑~bT<αβ~ is the number of 2‐element subsets of an α‐element set. It is shown here that for any well‐ordered set of arbitrary infinite order t
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