Some remarks on regular foliations with numerically trivial canonical class
Épijournal de Géométrie Algébrique, Tome 1 (2017)
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In this article, we first describe codimension two regular foliations with numerically trivial canonical class on complex projective manifolds whose canonical class is not numerically effective. Building on a recent algebraicity criterion for leaves of algebraic foliations, we then address regular foliations of small rank with numerically trivial canonical class on complex projective manifolds whose canonical class is pseudo-effective. Finally, we confirm the generalized Bondal conjecture formulated by Beauville in some special cases.
@article{10_46298_epiga_2017_volume1_2057,
author = {Druel, St\'ephane},
title = {Some remarks on regular foliations with numerically trivial canonical class},
journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
publisher = {mathdoc},
volume = {1},
year = {2017},
doi = {10.46298/epiga.2017.volume1.2057},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2017.volume1.2057/}
}
TY - JOUR AU - Druel, Stéphane TI - Some remarks on regular foliations with numerically trivial canonical class JO - Épijournal de Géométrie Algébrique PY - 2017 VL - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.46298/epiga.2017.volume1.2057/ DO - 10.46298/epiga.2017.volume1.2057 LA - en ID - 10_46298_epiga_2017_volume1_2057 ER -
%0 Journal Article %A Druel, Stéphane %T Some remarks on regular foliations with numerically trivial canonical class %J Épijournal de Géométrie Algébrique %D 2017 %V 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.46298/epiga.2017.volume1.2057/ %R 10.46298/epiga.2017.volume1.2057 %G en %F 10_46298_epiga_2017_volume1_2057
Druel, Stéphane. Some remarks on regular foliations with numerically trivial canonical class. Épijournal de Géométrie Algébrique, Tome 1 (2017). doi: 10.46298/epiga.2017.volume1.2057
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