Algebraic Geometry for Splines
Appears in the following Collection
- Matematisk institutt 
AbstractList of papers. Papers 1 - 4 are removed from the thesis due to publisher restrictions. These papers are chapters 2 - 5 in the thesis.
Paper 1 / Chapter 2: Bernard Mourrain, Nelly Villamizar. Homological techniques for the analysis of the dimension of triangular spline spaces. Journal of Symbolic Computation. Volume 50, March 2013, Pages 564–577. doi:10.1016/j.jsc.2012.10.002
Paper 2 / Chapter 3: Bernard Mourrain, Nelly Villamizar. On the dimension of splines on tetrahedral decompositions. Submitted.
Paper 3 / Chapter 4: Nelly Villamizar. Ring structure of the space of C1 spline functions. Submitted.
Paper 4 / Chapter 5: Frank Sottile, Elisa Postinghel, Nelly Villamizar. Degenerations of real toric varieties. Submitted.