Applications to A1-enumerative geometry of the A1-degree

Abstract

These are lecture notes from the conference Arithmetic Topology at the Pacific Institute of Mathematical Sciences on applications of Morel's A1-degree to questions in enumerative geometry. Additionally, we give a new dynamic interpretation of the A1-Milnor number inspired by the first named author's enrichment of dynamic intersection numbers.

arXiv comment26 pages

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• Logarithmic equivalence of Welschinger and Gromov-Witten invariants
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Cited by in corpus (5)

• Quadratic types and the dynamic Euler number of lines on a quintic threefold
• Bézoutians and the ${\mathbb{A}}^1$-degree
• Ulrich sheaves, the arithmetic writhe and algebraic isotopies of space curves
• Conics meeting eight lines over perfect fields
• ${\mathbb{A}}^1$-Brouwer degrees in Macaulay2