5 citations · 6 across the 2 of their papers we have counts for
5 papers
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…
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…
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…
Effective Bounds on the Dimensions of Jacobians Covering Abelian Varieties
Juliette Bruce, Wanlin Li
We show that any polarized abelian variety over a finite field is covered by a Jacobian whose dimension is bounded by an explicit constant. We do this by first proving an effective…
Conjectures and computations about Veronese syzygies
Juliette Bruce, Daniel Erman, Steve Goldstein +1
We formulate several conjectures which shed light on the structure of Veronese syzygies of projective spaces. Our conjectures are based on experimental data that we derived by deve…