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

DOI10.1090/S1056-3911-2014-00636-6zbMath1327.14207arXiv1203.5014MaRDI QIDQ2922504

Sebastian Casalaina-Martin, Radu Laza, David Jensen

Publication date: 10 October 2014

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.5014

zbMATH Keywords

geometric invariant theoryHassett-Keel programlog canonical model

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Families, moduli of curves (algebraic) (14H10) Parametrization (Chow and Hilbert schemes) (14C05) Special algebraic curves and curves of low genus (14H45) Minimal model program (Mori theory, extremal rays) (14E30) Divisors, linear systems, invertible sheaves (14C20)

Related Items

K-MODULI OF CURVES ON A QUADRIC SURFACE AND K3 SURFACES ⋮ Singularities with \(\mathbb{G}_m\)-action and the log minimal model program for \(\overline{\mathcal{M}}_g\) ⋮ Relative VGIT and an application to degenerations of Hilbert schemes ⋮ An Outline of the Log Minimal Model Program for the Moduli Space of Curves ⋮ GIT versus Baily-Borel compactification for \(K3\)'s which are double covers of \(\mathbb{P}^1 \times \mathbb{P}^1\) ⋮ Second flip in the Hassett–Keel program: a local description ⋮ Birational geometry of the moduli space of quartic  surfaces ⋮ Cohomology of the moduli space of non-hyperelliptic genus four curves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singularities with \(\mathbb{G}_m\)-action and the log minimal model program for \(\overline{\mathcal{M}}_g\)
• Lectures on moduli of curves. Notes by D. R. Gokhale
• Stability of projective varieties
• A complete moduli space for K3 surfaces of degree 2
• Finite Hilbert stability of (bi)canonical curves
• Log minimal model program for the moduli space of stable curves: the first flip
• Stability of pencils of quadrics in \(\mathbb{P}^4\)
• Log minimal model program for the moduli space of stable curves of genus three
• GIT Constructions of Log Canonical Models of M_g
• The geometry of the ball quotient model of the moduli space of genus four curves
• Alternate Compactifications of Moduli Spaces of Curves
• GIT and moduli with a twist
• CANONICAL CURVES IN ℙ³
• Quotients by non-reductive algebraic group actions
• The moduli space of cubic fourfolds
• The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".
• Geometric Invariant Theory
• Ribbons and Their Canonical Embeddings
• The moduli space of cubic threefolds
• The Final Log Canonical Model of the Moduli Space of Stable Curves of Genus 4
• Log canonical models for the moduli space of curves: The first divisorial contraction
• STABILITY COMPUTATION VIA GROBNER BASIS
• Mori dream spaces and GIT.