Bounds on the dimensions of trivariate spline spaces, Advances in Computational Mathematics, vol.64, issue.3, pp.315-335, 2008. ,
DOI : 10.1007/s10444-007-9051-6
On dimension and existence of local bases for multivariate spline spaces, Journal of Approximation Theory, vol.70, issue.2, pp.243-264, 1992. ,
DOI : 10.1016/0021-9045(92)90087-5
The Generic Dimension of the Space of $C^1$ Splines of Degree $d \geq 8$ on Tetrahedral Decompositions, SIAM Journal on Numerical Analysis, vol.30, issue.3, pp.889-920, 1993. ,
DOI : 10.1137/0730047
Thin algebras of embedding dimension three, Journal of Algebra, vol.100, issue.1, pp.235-259, 1986. ,
DOI : 10.1016/0021-8693(86)90076-1
Homology of smooth splines: generic triangulations and a conjecture of Strang, Transactions of the American Mathematical Society, vol.310, issue.1, pp.325-340, 1988. ,
DOI : 10.1090/S0002-9947-1988-0965757-9
On a notion of speciality of linear systems in P n , arXiv:1210.5175v2 [math.AG], to appear in Trans, 2013. ,
The geometric interpretation of Fr??berg???Iarrobino conjectures on infinitesimal neighbourhoods of points in projective space, Journal of Algebra, vol.286, issue.2, pp.421-455, 2005. ,
DOI : 10.1016/j.jalgebra.2005.01.010
Geometric Aspects of Polynomial Interpolation in More Variables and of Waring???s Problem, European Congress of Mathematics, vol.I, pp.289-316, 2000. ,
DOI : 10.1007/978-3-0348-8268-2_17
Isogeometric analysis: Toward integration of CAD and FEA, 2009. ,
DOI : 10.1002/9780470749081
Macaulay2, Software system for research in algebraic geometry http ,
An inequality for Hilbert series of graded algebras., MATHEMATICA SCANDINAVICA, vol.56, issue.2, pp.117-144, 1985. ,
DOI : 10.7146/math.scand.a-12092
Fat Points, Inverse Systems, and Piecewise Polynomial Functions, Journal of Algebra, vol.204, issue.1, pp.116-128, 1998. ,
DOI : 10.1006/jabr.1997.7361
Inverse systems of fat points: Waring's problem, secant varieties of Veronese varieties and parameter spaces for Gorenstein ideals, The Curves Seminar at Queen's, pp.2-114, 1995. ,
Points in good position in P 2 , Zero-dimensional schemes (Ravello, 1992, pp.213-229, 1994. ,
Inverse systems, Gelfand-Tsetlin patterns and the weak Lefschetz property, Journal of the London Mathematical Society, vol.84, issue.3, pp.712-730, 2011. ,
DOI : 10.1112/jlms/jdr033
Algebraic topology, 2002. ,
Compressed algebras: Artin algebras having given socle degrees and maximal length, Transactions of the American Mathematical Society, vol.285, issue.1, pp.337-378, 1984. ,
DOI : 10.1090/S0002-9947-1984-0748843-4
Multivariate $$C^1$$ C 1 -Continuous Splines on the Alfeld Split of a Simplex, 2013. ,
DOI : 10.1007/978-3-319-06404-8_16
at Points in Very General Position, Communications in Algebra, vol.48, issue.9, pp.2115-2129, 2012. ,
DOI : 10.1080/00927872.2011.573517
A Lower Bound for the Dimension of Trivariate Spline Spaces, Constructive Approximation, vol.23, issue.1, pp.23-31, 2006. ,
DOI : 10.1007/s00365-005-0596-7
On the weak Lefschetz property for powers of linear forms, Algebra & Number Theory, vol.6, issue.3, pp.487-526, 2012. ,
DOI : 10.2140/ant.2012.6.487
Homological techniques for the analysis of the dimension of triangular spline spaces, Journal of Symbolic Computation, vol.50, pp.564-577, 2013. ,
DOI : 10.1016/j.jsc.2012.10.002
URL : https://hal.archives-ouvertes.fr/hal-00742636
On rational surfaces, II, Memoirs of the College of Science, University of Kyoto. Series A: Mathematics, vol.33, issue.2, pp.271-293, 1960. ,
DOI : 10.1215/kjm/1250775912
A Spectral Sequence for Splines, Advances in Applied Mathematics, vol.19, issue.2, pp.183-199, 1997. ,
DOI : 10.1006/aama.1997.0534
A family of ideals of minimal regularity and the Hilbert series of C r ( ? ?), Adv ,
Dimension of C 2 trivariate splines on cells, http://www.math.uiuc.edu/ shan15/spline-revision.pdf, to appear in Approximation Theory XIV: San Antonio 2013. [30] A. ? Zení?ek, Polynomial approximation on tetrahedrons in the finite element method, J. Approximation Theory, vol.7, pp.334-351, 1973. ,