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- W4300786005 abstract "For a morphism of smooth schemes over a regular affine base we define functors of derived direct image and extraordinary inverse image on coderived categories of DG-modules over de Rham DG-algebras. Positselski proved that for a smooth algebraic variety $X$ over a field $k$ of characteristic zero the coderived category of DG-modules over $Omega^bullet_{X/k}$ is equivalent to the unbounded derived category of quasi-coherent right ${mathscr D}_X$-modules. We prove that our functors correspond to the functors of the same name for ${mathscr D}_X$-modules under Positselski equivalence." @default.
- W4300786005 created "2022-10-04" @default.
- W4300786005 creator A5015880489 @default.
- W4300786005 date "2013-11-29" @default.
- W4300786005 modified "2023-10-18" @default.
- W4300786005 title "DG-modules over de Rham DG-algebra" @default.
- W4300786005 doi "https://doi.org/10.48550/arxiv.1311.7503" @default.
- W4300786005 hasPublicationYear "2013" @default.
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