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Vanishing of the higher direct images of the structure sheaf

Part of: Birational geometry (Co)homology theory

Published online by Cambridge University Press:  30 June 2015

Andre Chatzistamatiou  and
Kay Rülling
Andre Chatzistamatiou
Affiliation:
Max Planck Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany email [email protected]
Kay Rülling
Affiliation:
Freie Universität Berlin, Arnimallee 7, 14195 Berlin, Germany email [email protected]
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Abstract

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

Keywords

birational mapshigher direct images

MSC classification

Primary: 14E05: Rational and birational maps 14F17: Vanishing theorems
Type
Research Article
Information
Compositio Mathematica , Volume 151 , Issue 11 , November 2015 , pp. 2131 - 2144
Copyright
© The Authors 2015 

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