Kählerian versions of the vanishing theorem of Bogomolov.

Christophe Mourougane

Collectanea Mathematica (1998)

  • Volume: 49, Issue: 2-3, page 433-445
  • ISSN: 0010-0757

Abstract

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We extend to compact Kaehler and Fujiki manifolds the theorem of F. Bogomolov, on vanishing of the space of holomorphic p-forms with values in a line bundle whose dual L is numerically effective, for the degrees p less than the numerical dimension of L.

How to cite

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Mourougane, Christophe. "Versions kählériennes du théorème d'annulation de Bogomolov.." Collectanea Mathematica 49.2-3 (1998): 433-445. <http://eudml.org/doc/41376>.

@article{Mourougane1998,
author = {Mourougane, Christophe},
journal = {Collectanea Mathematica},
keywords = {Grupos de cohomología; Variedades compactas; Teorema de anulación; Funciones holomorfas; line bundles; vanishing theorems; Kähler-manifolds},
language = {fre},
number = {2-3},
pages = {433-445},
title = {Versions kählériennes du théorème d'annulation de Bogomolov.},
url = {http://eudml.org/doc/41376},
volume = {49},
year = {1998},
}

TY - JOUR
AU - Mourougane, Christophe
TI - Versions kählériennes du théorème d'annulation de Bogomolov.
JO - Collectanea Mathematica
PY - 1998
VL - 49
IS - 2-3
SP - 433
EP - 445
LA - fre
KW - Grupos de cohomología; Variedades compactas; Teorema de anulación; Funciones holomorfas; line bundles; vanishing theorems; Kähler-manifolds
UR - http://eudml.org/doc/41376
ER -

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