${\mathbb{A}}^1$-Brouwer degrees in Macaulay2

Abstract

We describe the Macaulay2 package "A1BrouwerDegrees" for computing local and global ${\mathbb{A}}^1$-Brouwer degrees and studying symmetric bilinear forms over the complex numbers, the real numbers, the rational numbers, and finite fields of characteristic not equal to 2.

12 pages, 1 figure. Comments welcome!

References in corpus (6)

• The class of Eisenbud--Khimshiashvili--Levine is the local A1-Brouwer degree
• An Arithmetic Count of the Lines on a Smooth Cubic Surface
• An arithmetic enrichment of Bézout's Theorem
• Applications to A1-enumerative geometry of the A1-degree
• Bézoutians and the ${\mathbb{A}}^1$-degree
• Computing A1-Euler numbers with Macaulay2