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Back in 2021, I led the PCMI Undergraduate Faculty Program (abbreviated and online — covid times). Just today, four of the participants posted a preprint that arose from that program characterizing which quadratic forms of small rank arise as 𝔸¹-Milnor numbers! arxiv.org/abs/2610.14506 🧮

arxiv.orgCharacterization of $\mathbb{A}^1$-Milnor numbers of small rankThe $\mathbb{A}^1$-Milnor number of a polynomial map is a quadratic enrichment of the classical Milnor number, defined as the local $\mathbb{A}^1$-Brouwer degree of the gradient. We study which elemen...

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Just think, nowadays you might have been able to obtain the same result by LLM in much less time, have it written by machine, and avoid anyone learning anything!