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math.AG2019★ 1 cited
The Quantitative Behavior of Asymptotic Syzygies for Hirzebruch Surfaces
Juliette Bruce
The goal of this note is to quantitatively study the behavior of asymptotic syzygies for certain toric surfaces, including Hirzebruch surfaces. In particular, we show that the asym…
math.AG2019★ 10 cited
The Virtual Resolutions Package for Macaulay2
Ayah Almousa, Juliette Bruce, Michael C. Loper +1
We introduce the VirtualResolution package for the computer algebra system Macaulay2. This package has tools to construct, display, and study virtual resolutions for products of pr…
math.AG2019★ 5 cited
Asymptotic Syzygies in the Setting of Semi-Ample Growth
Juliette Bruce
We study the asymptotic non-vanishing of syzygies for products of projective spaces. Generalizing the monomial methods of Ein, Erman, and Lazarsfeld \cite{einErmanLazarsfeld16} we…