Stable pairs with a twist and gluing morphisms for moduli of surfaces

DOI10.1007/s00029-021-00661-2zbMath1481.14021arXiv1902.00504OpenAlexW3173482594MaRDI QIDQ2036429

Giovanni Inchiostro, Dori Bejleri

Publication date: 29 June 2021

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.00504

zbMATH Keywords

modulistable pairtwisted stable pair

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Families, moduli, classification: algebraic theory (14J10) Minimal model program (Mori theory, extremal rays) (14E30) Stacks and moduli problems (14D23)

Uses Software

• MathOverflow

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Simultaneous normalization and algebra husks
• Group actions on stacks and applications
• Differential forms on log canonical spaces
• Tame stacks in positive characteristic
• Threefolds and deformations of surface singularities
• Grothendieck duality and base change
• Grothendieck duality and \(\mathbb{Q}\)-Gorenstein morphisms
• Boundedness of moduli of varieties of general type
• Projectivity of complete moduli
• Compact moduli of plane curves
• Existence of log canonical closures
• The dualizing sheaf on first-order deformations of toric surface singularities
• Moduli of fibered surface pairs from twisted stable maps
• Deformation theory of representable morphisms of algebraic stacks
• \(\underline{\Hom}\)-stacks and restriction of scalars
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
• The irreducibility of the space of curves of a given genus
• Fibered stable varieties
• Moduli of varieties of general type
• Stable varieties with a twist
• Twisted stable maps to tame Artin stacks
• The projectivity of the moduli space of stable curves, III: The line bundles on $M_{g,n}$, and a proof of the projectivity of $\bar{M}_{g,n}$ in characteristic 0.
• Remarks on the stack of coherent algebras
• Existence of minimal models for varieties of log general type
• BOUNDEDNESS AND K² FOR LOG SURFACES
• Reflexive pull-backs and base extension
• Introduction
• Stable log surfaces, admissible covers, and canonical curves of genus 4
• Deformations of log canonical and $F$-pure singularities
• Projectivity of the moduli space of stable log-varieties and subadditivity of log-Kodaira dimension
• Simple Hironaka resolution in characteristic zero