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- W2949496712 abstract "We consider the vector space of globally differentiable piecewise polynomial functions defined on a three-dimensional polyhedral domain partitioned into tetrahedra. We prove new lower and upper bounds on the dimension of this space by applying homological techniques. We give an insight into different ways of approaching this problem by exploring its connections with the Hilbert series of ideals generated by powers of linear forms, fat points, the so-called Froberg-Iarrobino conjecture, and the weak Lefschetz property." @default.
- W2949496712 created "2019-06-27" @default.
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- W2949496712 date "2014-03-04" @default.
- W2949496712 modified "2023-09-27" @default.
- W2949496712 title "Bounds on the dimension of trivariate spline spaces: A homological approach" @default.
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