[Pinceaux de Lefschetz pour variétés 2-calibrées.]
On prouve qu'il existe toujours des pinceaux de Lefschetz pour les variétés fermées 2-calibrées. Ce résultat généralise des constructions similaires pour les variétés symplectiques et de contact.
We prove that for closed 2-calibrated manifolds there always exist Lefschetz pencil structures. This generalizes similar results for symplectic and contact manifolds.
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@article{CRMATH_2004__339_3_215_0,
author = {Ibort, Alberto and Marti{\textasciiacute}nez Torres, David},
title = {Lefschetz pencil structures for 2-calibrated manifolds},
journal = {Comptes Rendus. Math\'ematique},
pages = {215--218},
publisher = {Elsevier},
volume = {339},
number = {3},
year = {2004},
doi = {10.1016/j.crma.2004.05.018},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2004.05.018/}
}
TY - JOUR AU - Ibort, Alberto AU - Marti´nez Torres, David TI - Lefschetz pencil structures for 2-calibrated manifolds JO - Comptes Rendus. Mathématique PY - 2004 SP - 215 EP - 218 VL - 339 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2004.05.018/ DO - 10.1016/j.crma.2004.05.018 LA - en ID - CRMATH_2004__339_3_215_0 ER -
%0 Journal Article %A Ibort, Alberto %A Marti´nez Torres, David %T Lefschetz pencil structures for 2-calibrated manifolds %J Comptes Rendus. Mathématique %D 2004 %P 215-218 %V 339 %N 3 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2004.05.018/ %R 10.1016/j.crma.2004.05.018 %G en %F CRMATH_2004__339_3_215_0
Ibort, Alberto; Marti´nez Torres, David. Lefschetz pencil structures for 2-calibrated manifolds. Comptes Rendus. Mathématique, Tome 339 (2004) no. 3, pp. 215-218. doi : 10.1016/j.crma.2004.05.018. http://www.numdam.org/articles/10.1016/j.crma.2004.05.018/
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