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Six operations on dg enhancements of derived categories of sheaves

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arxiv 1507.08697 v3 pith:PHFRJP4V submitted 2015-07-30 math.AG math.CT

Olaf M. Schnürer This is my paper · ORCID
classification math.AGmath.CT
keywords categoriesderivedenhancementssheavescategorycomedifferentialenriched
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We lift Grothendieck-Verdier-Spaltenstein's six functor formalism for derived categories of sheaves on ringed spaces over a field to differential graded enhancements. Our main tools come from enriched model category theory.

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  1. Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps

    math.AG 2019-08 conditional novelty 6.0 of 10

    For pseudo-coherent finite maps of schemes, this preprint proves the concrete dualizing pseudofunctor f^♭ is isomorphic to the abstract f^!, and gives explicit comparisons for tensor, Hom, and Koszul-regular immersions.

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