For any smooth projective variety, we study a birational invariant, defined by Campana which depends on the Kodaira dimension of the subsheaves of the cotangent bundle of the variety and its exterior powers. We provide new bounds for a related invariant in any dimension and in particular we show that it is equal to the Kodaira dimension of the variety, in dimension up to 4, if this is not negative.
@article{bwmeta1.element.doi-10_2478_s11533-006-0003-z,
author = {Paolo Cascini},
title = {Subsheaves of the cotangent bundle},
journal = {Open Mathematics},
volume = {4},
year = {2006},
pages = {209-224},
zbl = {1108.14009},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-006-0003-z}
}
Paolo Cascini. Subsheaves of the cotangent bundle. Open Mathematics, Tome 4 (2006) pp. 209-224. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-006-0003-z/
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