collaborators

5 papers

math.AG2025

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…

math.AT2025

-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.

math.AG2025

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…

math.AG2025

Reduced Čech 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 Čech complexes", complexes using fewer than the usual number of intersections…

math.AC2025

The -vectors of toric ideals of odd cycle compositions revisited

Kieran Bhaskara, Adam Van Tuyl, Sasha Zotine

Let be a graph consisting of odd cycles that all share a common vertex. Bhaskara, Higashitani, and Shibu Deepthi recently computed the -polynomial for the quotient ring…