Beihui Yuan

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math.AC2019

A new bound for smooth spline spaces

Hal Schenck, Mike Stillman, Beihui Yuan

For a planar simplicial complex Delta contained in R^2, Schumaker proved that a lower bound on the dimension of the space C^r_k(Delta) of planar splines of smoothness r and polynom…

math.AC2019

An upper bound on the first homology of spline complexes

Beihui Yuan

Let $Δ$ be a connected, pure $2$ -dimensional simplicial complex embedded in $R^{2}$ and let $C^{r} (Δ^)$ be the homogenized spline module of $Δ$ with smoothness $r$ . To st…