Abstract
We discuss geometric invariant theory (GIT) for canonically embedded genus 4 curves and the connection to the Hassett-Keel program. A canonical genus 4 curve is a complete intersection of a quadric and a cubic, and, in contrast to the genus 3 case, there is a family of GIT quotients that depend on a choice of linearization. We discuss the corresponding variation of GIT (VGIT) problem and show that the resulting spaces give the final steps in the Hassett-Keel program for genus 4 curves.
| Original language | English |
|---|---|
| Pages (from-to) | 727-764 |
| Number of pages | 38 |
| Journal | Journal of Algebraic Geometry |
| Volume | 23 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2014 |
Bibliographical note
Publisher Copyright:© 2014 University Press, Inc.
Funding
| Funders | Funder number |
|---|---|
| National Stroke Foundation | DMS-0968968, DMS-1101333 |
| National Science Foundation Arctic Social Science Program | 1200875 |
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology
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