Vanishing of the higher direct images of the structure sheaf

Vanishing of the higher direct images of the structure sheaf

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

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Bibliographische Detailangaben
Veröffentlicht in:Compositio mathematica 2015-11, Vol.151 (11), p.2131-2144
Hauptverfasser: Chatzistamatiou, Andre, Rülling, Kay
Format: Artikel
Sprache:eng
Schlagworte:
Studies
Theoretical mathematics
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Beschreibung
Zusammenfassung:We prove that the higher direct images of the structure sheaf under a birational and projective morphism between excellent and regular schemes vanish.
ISSN:0010-437X
1570-5846
DOI:10.1112/S0010437X15007435