Trivariate Splines on Fans of Hyperplane Arrangements and Koszul Homology

Carles Checa, Michael DiPasquale, Pablo Mazón +5

We study the space of splines ${\mathcal{S}}^{\mathbf{r}}(\hat{I}{\pounds }^{\mathcal{A}})$ where $\mathbf{r}$ denotes a smoothness distribution and $\hat{I}{\pounds }^{\mathcal{A}}$ is the fan of a central hyperpl…