Vanishing of the higher direct images of the structure sheaf

Abstract

We prove that the higher direct images of the structure sheaf under a birational and projective morphism between excellent and regular schemes vanish.

final version, to appear in Compositio Math

References in corpus (1)

• Bivariance, Grothendieck duality and Hochschild homology, II: the fundamental class of a flat scheme-map

Cited by in corpus (3)

• The Log Product Formula in quantum $K$-theory
• On proper splinters in positive characteristic
• Rational singularities and $q$-birational morphism