7 papers
Dynamics of Projectivized Toric Vector Bundles
Javier González-Anaya, Brett Nasserden, Sasha Zotine
We study surjective endomorphisms of projective bundles over toric varieties, achieving three main results. First, we provide a structural theorem describing endomorphisms of proje…
-Mackey functors in Macaulay2
Thomas Brazelton, David Chan, Benjamin Mudrak +5
We introduce the CpMackeyFunctors package for Macaulay2, which allows for computations with Mackey functors over a cyclic group of prime order.
Dynamics of Endomorphisms for Projective Bundles on Elliptic Curves
Brett Nasserden, Sasha Zotine
We study the dynamics of surjective endomorphisms of projective bundles on elliptic curves and relate their dynamical properties to the geometry of the bundle. As an application we…
The multigraded BGG correspondence in Macaulay2
Maya Banks, Michael K. Brown, Tara Gomes +3
We give an overview of a Macaulay2 package for computing with the multigraded BGG correspondence. This software builds on the package BGG due to Abo-Decker-Eisenbud-Schreyer-Smith-…
Computing higher direct images in Macaulay2
Sasha Zotine
This article highlights the ToricHigherDirectImages package in Macaulay2. The central feature is a method for computing (higher) direct images of line bundles under surjective tori…
Reduced Äech complexes and computing higher direct images under toric maps
Mike Roth, Sasha Zotine
This paper has three main goals : (1) To give an axiomatic formulation of the construction of "reduced Äech complexes", complexes using fewer than the usual number of intersection…