An Introduction to $\mathbf{A}^1$-Enumerative Geometry
Algebraic Geometry
2020-07-21 v1 Algebraic Topology
Abstract
We provide an expository introduction to -enumerative geometry, which uses the machinery of -homotopy theory to enrich classical enumerative geometry questions over a broader range of fields. Included is a discussion of enriched local degrees of morphisms of smooth schemes, following Morel, -Milnor numbers, as well as various computational tools and recent examples. Based off lectures delivered by Kirsten Wickelgren at the 2018 LMS-CMI summer school ''Homotopy Theory and Arithmetic Geometry, Motivic and Diophantine Aspects.''
Cite
@article{arxiv.2007.09742,
title = {An Introduction to $\mathbf{A}^1$-Enumerative Geometry},
author = {Thomas Brazelton},
journal= {arXiv preprint arXiv:2007.09742},
year = {2020}
}
Comments
33 pages, expository, to appear in Springer Lecture Notes in Mathematics, comments welcome