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.
Six operations on dg enhancements of derived categories of sheaves
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
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.
fields
math.AG 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps
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.