Abstract
Over the last few years, wall-crossing for Bridgeland stability conditions has led to a large number of results in algebraic geometry, particular on birational geometry of moduli spaces.
We illustrate some of the methods behind these result by reproving Lazarsfeld's Brill-Noether theorem for curves on K3 surfaces via wall-crossing. We conclude with a survey of recent applications of stability conditions on surfaces.
The intended reader is an algebraic geometer with a limited working knowledge of derived categories. This article is based on the author's talk at the AMS Summer Institute on Algebraic Geometry in Utah, July 2015.
We illustrate some of the methods behind these result by reproving Lazarsfeld's Brill-Noether theorem for curves on K3 surfaces via wall-crossing. We conclude with a survey of recent applications of stability conditions on surfaces.
The intended reader is an algebraic geometer with a limited working knowledge of derived categories. This article is based on the author's talk at the AMS Summer Institute on Algebraic Geometry in Utah, July 2015.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of Symposia in Pure Mathematics |
| Subtitle of host publication | Algebraic Geometry: Salt Lake City 2015 |
| Publisher | American Mathematical Society |
| Pages | 3-28 |
| Volume | 97 |
| ISBN (Print) | 978-1-4704-2754-2 |
| Publication status | Published - 2018 |
| Event | Summer Research Institute on Algebraic Geometry - University of Utah, Salt Lake City, United States Duration: 13 Jul 2015 → 31 Jul 2015 |
Conference
| Conference | Summer Research Institute on Algebraic Geometry |
|---|---|
| Country/Territory | United States |
| City | Salt Lake City |
| Period | 13/07/15 → 31/07/15 |
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