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

Andrew R. Tawfeek; Frenly Espino; Joel Louwsma; Jordy Lopez Garcia; Nikita Borisov; Thomas Brazelton; Thomas Hagedorn; Wern Juin Gabriel Ong; Zhaobo Han

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

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arxiv 2312.00106 v2 pith:Q25PVVR2 submitted 2023-11-30 math.AG math.ACmath.AT

Nikita Borisov , Thomas Brazelton , Frenly Espino , Thomas Hagedorn , Zhaobo Han , Jordy Lopez Garcia , Joel Louwsma , Wern Juin Gabriel Ong

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Andrew R. Tawfeek

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classification math.AGmath.ACmath.AT

keywords numbersbrouwerdegreesmacaulay2mathbba1brouwerdegreesbilinearcharacteristic

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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.

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