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Niels Lauritzen

The Euler characteristic of a homogeneous line bundle

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We give a formula for the Euler characteristic of a homogeneous line bundle on certain projective homogeneous spaces for semisimple algebraic groups in positive characteristic. Using this we obtain examples of homogeneous projective varieties violating Kodaira vanishing and answer negatively a question posed by Raynaud.
OriginalsprogEngelsk
TidsskriftComptes Rendus Mathématique
Vol/bind315
Sider (fra-til)715
Antal sider4
ISSN1631-073X
StatusUdgivet - 1992

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