Journal of Algebraic Geometry

Author(s): Niels Lauritzen; Jesper Funch Thomsen
Journal: J. Algebraic Geom. 13 (2004), 461-473.
Posted: December 8, 2003
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Abstract: We characterize the globally generated, ample and very ample line bundles on Bott-Samelson varieties. Using Frobenius splitting we prove a vanishing theorem generalizing the vanishing theorem of Kumar in characteristic zero (Invent. Math. 89 (1987), 395-423).

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Niels Lauritzen
Affiliation: Institut for Matematiske Fag, Aarhus Universitet, Ny Munkegade, DK-8000 Århus C, Denmark
Email: niels@imf.au.dk

Jesper Funch Thomsen
Affiliation: Institut for Matematiske Fag, Aarhus Universitet, Ny Munkegade, DK-8000 Århus C, Denmark.
Email: funch@imf.au.dk

PII: S 1056-3911(03)00358-8
Received by editor(s): January 22, 2002
Posted: December 8, 2003
Additional Notes: Both authors were supported in part by the TMR-programme ``Algebraic Lie Representations'' (ECM Network Contract No. ERB FMRX-CT 97/0100) and the Danish Natural Science Research Council

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