Stability and Applications
Algebraic Geometry
2022-02-15 v2
Abstract
We give a brief overview of Bridgeland's theory of stability conditions, focusing on applications to algebraic geometry. We sketch the basic ideas in Bayer's proof of the Brill--Noether Theorem and in the authors' proof of a theorem by Gruson--Peskine and Harris on the genus of space curves. This note originated from the lecture of the first author at the conference From Algebraic Geometry to Vision and AI: A Symposium Celebrating the Mathematical Work of David Mumford, held at the Center of Mathematical Sciences and Applications, Harvard University, August 18-20, 2018.
Cite
@article{arxiv.2002.01242,
title = {Stability and Applications},
author = {Emanuele Macrì and Benjamin Schmidt},
journal= {arXiv preprint arXiv:2002.01242},
year = {2022}
}
Comments
18 pages, minor changes