DERIVED LOGARITHMIC GEOMETRY I

DOI10.1017/S1474748014000322zbMath1344.14002arXiv1307.4246OpenAlexW2122128213MaRDI QIDQ2800015

Steffen Sagave, Gabriele Vezzosi, Timo Schürg

Publication date: 14 April 2016

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.4246

zbMATH Keywords

cotangent complexderived algebraic geometrylog structuressimplicial commutative rings

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Generalizations (algebraic spaces, stacks) (14A20) Stacks and moduli problems (14D23)

Related Items

Homological characterization of regularity in logarithmic algebraic geometry, A Hochschild-Kostant-Rosenberg theorem and residue sequences for logarithmic Hochschild homology, Derived algebraic geometry, On the relationship between logarithmic TAQ and logarithmic THH

Cites Work

• Unnamed Item
• Unnamed Item
• Homotopical algebraic geometry. I: Topos theory
• Versal deformations and algebraic stacks
• Spectra in model categories and applications to the algebraic cotangent complex
• A degeneration formula of GW-invariants
• Stable morphisms to singular schemes and relative stable morphisms.
• Group completion and units in \(\mathcal I\)-spaces
• Homotopical algebra
• Complexe cotangent et déformations. I. (The cotangent complex and deformations. I.)
• The logarithmic cotangent complex
• LOG SMOOTH DEFORMATION AND MODULI OF LOG SMOOTH CURVES
• $p$-adic periods and derived de Rham cohomology
• Logarithmic Gromov-Witten invariants
• Au-dessous de Specℤ
• Smoothness in Relative Geometry
• Every homotopy theory of simplicial algebras admits a proper model