Log canonical models and variation of git for genus 4 canonical curves

Sebastian Casalaina-Martin, David Jensen, Radu Laza

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

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 languageEnglish
Pages (from-to)727-764
Number of pages38
JournalJournal of Algebraic Geometry
Volume23
Issue number4
DOIs
StatePublished - 2014

Bibliographical note

Publisher Copyright:
© 2014 University Press, Inc.

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

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