Manifolds with Nef Rank 1 Subsheaves in Ω X 1

Stefan Kebekus (), Thomas Peternell () and Andrew J. Sommese ()
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Stefan Kebekus: Universität Bayreuth, Lehrstuhl Mathematik I
Thomas Peternell: Universität Bayreuth, Lehrstuhl Mathematik VIII
Andrew J. Sommese: University of Notre Dame, Department of Mathematics

A chapter in Complex Geometry, 2002, pp 157-164 from Springer

Abstract: Abstract This paper is concerned with the question how a subbundle or subsheaf L of the cotangent bundle Ω X 1 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.

Keywords: 2000; Mathematics Subject Classification; 14J60; 14J40 (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-56202-0_11

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DOI: 10.1007/978-3-642-56202-0_11

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