Homotopical Algebraic Context over Differential Operators

Abstract

Building on previous works, we show that the category of non-negatively graded chain complexes of $D_X$-modules -- where $X$ is a smooth affine algebraic variety over an algebraically closed field of characteristic zero -- fits into a homotopical algebraic context in the sense of Toen and Vezzosi.

References in corpus (4)

• Overcategories and undercategories of model categories
• Homotopical Algebraic Context over Differential Operators
• Model structure on differential graded commutative algebras over the ring of differential operators
• Model categorical Koszul-Tate resolution for algebras over differential operators

Cited by in corpus (7)

• Homotopical Algebraic Context over Differential Operators
• Local Forms of Morphisms of Colored Supermanifolds
• The Schwarz-Voronov Embedding of ${\mathbb{Z}}_2^n$-Manifolds
• Linear ${\mathbb{Z}}_2^n$-Manifolds and Linear Actions
• On Koszul-Tate resolutions and Sullivan models
• Comparison theorems for Kan, faintly universal and strongly universal derived functors
• Indeterminacies and models of homotopy limits