Applications to A1-enumerative geometry of the A1-degree
Sabrina Pauli, Kirsten Wickelgren
TL;DR
This paper explores the application of Morel's A1-degree to enumerative geometry, providing new insights and interpretations, including a dynamic view of the A1-Milnor number, to advance algebraic geometry methods.
Contribution
It introduces a novel dynamic interpretation of the A1-Milnor number and discusses applications of the A1-degree in enumerative geometry, expanding the theoretical framework.
Findings
New dynamic interpretation of the A1-Milnor number
Applications of A1-degree to enumerative geometry
Enhanced understanding of intersection numbers
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.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models