Transfers and Unstable Degrees in the $\mathbb{A}^{1}$-Brouwer Degrees Package for Macaulay2
Algebraic Geometry
2025-11-18 v1 Algebraic Topology
Abstract
We describe a significant update to the Macaulay2 package A1BrouwerDegrees. We extend several methods in the previous version of the package to the setting of finite \'{e}tale algebras, allowing the computation of transfers along finite \'{e}tale extensions. Additionally, we implement a number of new features for the computation of unstable -Brouwer degrees and manipulation of classes in the unstable Grothendieck--Witt group.
Cite
@article{arxiv.2511.12765,
title = {Transfers and Unstable Degrees in the $\mathbb{A}^{1}$-Brouwer Degrees Package for Macaulay2},
author = {Stephanie Atherton and Somak Dutta and Jordy Lopez Garcia and Joel Louwsma and Yuyuan Luo and Wern Juin Gabriel Ong and Ruzho Sagarayaj},
journal= {arXiv preprint arXiv:2511.12765},
year = {2025}
}
Comments
8 pages. Comments welcome