Beihui Yuan

activity

20192025

P^{n}

and Gorenstein rings

2 citations · 4 across the 9 of their papers we have counts for

collaborators

9 papers

math.AG2025

On the normality of commuting scheme for general linear Lie algebra

Artan Sheshmani, Xiaopeng Xia, Beihui Yuan

The commuting scheme $C_{g}^{d}$ for reductive Lie algebra $g$ over an algebraically closed field $K$ is the subscheme of $\mathfrak{g}^{d…

math.NA2024

The sharpness condition for constructing a finite element from a superspline

Jun Hu, Ting Lin, Qingyu Wu +1

This paper addresses sharpness conditions for constructing $C^{r}$ conforming finite element spaces from a superspline spaces on general simplicial triangulations. We introduce the c…

math.AC2023

Planar splines on a triangulation with a single totally interior edge

Michael DiPasquale, Beihui Yuan

We derive an explicit formula, valid for all integers $r, d \geq 0$ , for the dimension of the vector space $C_{d}^{r} (Δ)$ of piecewise polynomial functions continuously differentiable to…

math.CO2023

Multivariate polynomial splines on generalized oranges

Maritza Sirvent, Tatyana Sorokina, Nelly Villamizar +1

We consider spaces of multivariate splines defined on a particular type of simplicial partitions that we call (generalized) oranges. Such partitions are composed of a finite number…

math.NA2023

An algebraic framework for geometrically continuous splines

Angelos Mantzaflaris, Bernard Mourrain, Nelly Villamizar +1

Geometrically continuous splines are piecewise polynomial functions defined on a collection of patches which are stitched together through transition maps. They are called $G^{r}$ -…

math.AC2021★ 1 cited

Quaternary quartic forms and Gorenstein rings

Gregorz Kapustka, Michał Kapustka, Kristian Ranestad +3

A quaternary quartic form, a quartic form in four variables, is the dual socle generator of an Artinian Gorenstein ring of codimension and regularity 4. We present a classification…

math.AG2020★ 2 cited

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★ 1 cited

A new bound for smooth spline spaces