Grothendieck Duality and Transitivity II: Traces and Residues via Verdier's isomorphism

22 Mar 2019 Nayak Suresh Sastry Pramathanath

For a smooth map between noetherian schemes, Verdier relates the top relative differentials of the map with the twisted inverse image functor `upper shriek'. We show that the associated traces for smooth proper maps can be rendered concrete by showing that the resulting theory of residues satisfy the residue formulas (R1)--(R10) in Hartshorne's "Residues and Duality"... (read more)

PDF Abstract
No code implementations yet. Submit your code now

Categories


  • ALGEBRAIC GEOMETRY
  • COMMUTATIVE ALGEBRA