Abstract
This paper is concerned with the question how a subbundle or subsheaf L of the cotangent bundle Ω 1 X of an algebraic variety X impacts the global geometry of X. There is clearly no hope to answer this question in general without further assumptions on L. For reasonable assumptions, one might think, for instance, of L being a maximal destabilizing subsheaf or the dual of the cokernel of a foliation of X.
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Kebekus, S., Peternell, T., Sommese, A.J. (2002). Manifolds with Nef Rank 1 Subsheaves in Ω 1 X . In: Bauer, I., Catanese, F., Peternell, T., Kawamata, Y., Siu, YT. (eds) Complex Geometry. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56202-0_11
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DOI: https://doi.org/10.1007/978-3-642-56202-0_11
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