Geometric invariants for non-archimedean semialgebraic sets
Algebraic Geometry
2018-02-20 v2
Abstract
This survey paper explains how one can attach geometric invariants to semialgebraic sets defined over non-archimedean fields, using the theory of motivic integration of Hrushovski and Kazhdan. It also discusses tropical methods to compute these invariants in concrete cases, as well as an application to refined curve counting, developed in collaboration with Sam Payne and Franziska Schroeter.
Cite
@article{arxiv.1603.08732,
title = {Geometric invariants for non-archimedean semialgebraic sets},
author = {Johannes Nicaise},
journal= {arXiv preprint arXiv:1603.08732},
year = {2018}
}
Comments
Final version, to appear in the Proceedings of the AMS Summer Institute (Salt Lake City, 2015)