Singularities with \(\mathbb{G}_m\)-action and the log minimal model program for \(\overline{\mathcal{M}}_g\)

DOI10.1515/crelle-2014-0063zbMath1354.14041arXiv1010.3751OpenAlexW2554392931MaRDI QIDQ346738

Maksym Fedorchuk, David Ishii Smyth, Jarod Alper

Publication date: 30 November 2016

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.3751

zbMATH Keywords

singularitiesmoduli of curveslog minimal model program

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Families, moduli of curves (algebraic) (14H10) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items

ON THE FIRST STEPS OF THE MINIMAL MODEL PROGRAM FOR THE MODULI SPACE OF STABLE POINTED CURVES, Log canonical models and variation of GIT for genus 4 canonical curves, A smooth compactification of the space of genus two curves in projective space: via logarithmic geometry and Gorenstein curves, VGIT presentation of the second flip of \(\overline{M}_{2,1}\), Moduli spaces of weighted pointed stable rational curves via GIT, GIT versus Baily-Borel compactification for \(K3\)'s which are double covers of \(\mathbb{P}^1 \times \mathbb{P}^1\), On some modular contractions of the moduli space of stable pointed curves, Second flip in the Hassett–Keel program: a local description, Intersections of 𝜓-classes on \overline{𝑀}_{1,𝑛}(𝑚), Modular compactifications of \(\mathcal{M}_{2,n}\) with Gorenstein curves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gorenstein curves and symmetry of the semigroup of values
• On the local quotient structure of Artin stacks
• The Milnor number and deformations of complex curve singularities
• Automorphic forms and quasihomogeneous singularities
• Stability of projective varieties
• Variation of geometric invariant theory quotients. (With an appendix: ``An example of a thick wall by Nicolas Ressayre)
• On the Kodaira dimension of the moduli space of curves
• Finite Hilbert stability of (bi)canonical curves
• Log minimal model program for the moduli space of stable curves: the first flip
• Log minimal model program for the moduli space of stable curves of genus three
• Stability of tails and 4-canonical models
• Good moduli spaces for Artin stacks
• Isolated singularities of algebraic surfaces with \(\mathbb{C}^{*}\) action
• Introduction to Grothendieck duality theory
• Quasihomogeneous isolated singularities of hyperplanes.
• Simultaneous semi-stable reduction for curves with ADE singularities
• The geometry of the ball quotient model of the moduli space of genus four curves
• Log canonical models and variation of GIT for genus 4 canonical curves
• Alternate Compactifications of Moduli Spaces of Curves
• An Outline of the Log Minimal Model Program for the Moduli Space of Curves
• Modular compactifications of the space of pointed elliptic curves I
• Sheaves on Artin stacks
• GIT Constructions of Moduli Spaces of Stable Curves and Maps
• Numerische Charakterisierung Quasihomogener GORENSTEIN-Kurvensingularitäten
• Moduli of Trigonal Curves
• Ribbons and Their Canonical Embeddings
• The Final Log Canonical Model of the Moduli Space of Stable Curves of Genus 4
• Local stable reduction of plane curve singularities
• Second flip in the Hassett–Keel program: a local description
• Log canonical models for the moduli space of curves: The first divisorial contraction
• Stability of genus five canonical curves
• The Value-Semigroup of a One-Dimensional Gorenstein Ring
• Geometric invariant theory and flips
• Normal surface singularities with \(\mathbb{C}^*\) action