Workshop
A1-Brouwer Degrees in Macaulay2
- Gabriel Ong
Abstract
The A^1-Brouwer degree can be thought of as an analogue of the topological Brouwer degree valued in the Grothendieck-Witt ring of symmetric bilinear forms. These A^1-degrees allow for the generalization of algebro-geometric invariants such as intersection numbers and Milnor numbers over arbitrary fields. We present the Macaulay2 package 'A1BrouwerDegrees' for computing local and global A^1-Brouwer degrees as well as for studying symmetric bilinear forms over fields.
