Beihui Yuan

collaborators

3 papers

math.AG2020

Calabi-Yau threefolds in $P^{n}$ and Gorenstein rings

Hal Schenck, Mike Stillman, Beihui Yuan

A projectively normal Calabi-Yau threefold $X \subseteq P^{n}$ has an ideal $I_{X}$ which is arithmetically Gorenstein, of Castelnuovo-Mumford regularity four. Such ideals hav…

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…

Calabi-Yau threefolds in Pn and Gorenstein rings

A new bound for smooth spline spaces

An upper bound on the first homology of spline complexes

Calabi-Yau threefolds in $P^{n}$ and Gorenstein rings