Logarithmic Geometry and Moduli

Abstract

We discuss the role played by logarithmic structures in the theory of moduli.

62 pages, submitted to Handbook of Moduli, Farkas and Morrison, eds

References in corpus (3)

• Revêtements étales et groupe fondamental (SGA 1)
• Logarithmic Stable Maps
• An SO(3)-version of 2-torsion instanton invariants

Cited by in corpus (23)

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• The moduli space of multi-scale differentials
• A theory of dormant opers on pointed stable curves -- a proof of Joshi's conjecture
• Kato-Nakayama spaces, infinite root stacks, and the profinite homotopy type of log schemes
• $K(\pi ,1)$-neighborhoods and comparison theorems
• A generalization of the double ramification cycle via log-geometry
• The Shafarevich conjecture revisited: Finiteness of pointed families of polarized varieties
• Weak Coupling, Degeneration and Log Calabi-Yau Spaces
• Derived Logarithmic Geometry I
• GIT and moduli with a twist
• Holonomic and perverse logarithmic D-modules
• The p-adic Hodge decomposition according to Beilinson
• Enumerative geometry of elliptic curves on toric surfaces
• Stable maps and singular curves on K3 surfaces
• A general formalism for logarithmic structures
• Smoothability of relative stable maps to stacky curves
• Moduli of framed formal curves
• Limits of stable maps in a semi-stable degeneration
• Moduli of Tango structures and dormant Miura opers
• Moduli of log twisted $\mathcal{N}=1$ SUSY curves
• Enriched Sets and Higher Categories
• Formality of little disks and algebraic geometry
• The fundamental group of binoid varieties