Derived Logarithmic Geometry I

Abstract

In order to develop the foundations of logarithmic derived geometry, we introduce a model category of logarithmic simplicial rings and a notion of derived log étale maps and use this to define derived log stacks.

v3: 33 pages; adjusted title, to appear in J. Inst. Math. Jussieu

References in corpus (4)

• p-adic derived de Rham cohomology
• Logarithmic Geometry and Moduli
• Localization sequences for logarithmic topological Hochschild homology
• Group completion and units in I-spaces

Cited by in corpus (3)

• Infinite root stacks and quasi-coherent sheaves on logarithmic schemes
• On Deformation Theory in Higher Logarithmic Geometry
• Derived log stacks after Olsson