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arXiv · 2002.01242

Stability and Applications

Emanuele Macrì·Benjamin Schmidt
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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.

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Emanuele Macrì, Benjamin Schmidt. 2020-02-04. Stability and Applications. https://doi.org/10.4310/pamq.2021.v17.n2.a5

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