A note on the cone of mobile curves - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: S. Boucksom, J.-P. Demailly, M. Paun and Th. Peternell proved that the coneof mobile curves MEX of a projective complex manifold X is dual to the conegenerated by classes of effective divisors and conjectured an extension of thisduality in the Kaehler set-up. We show that their conjecture implies that MEXcoincides with the cone of integer classes represented by closed positivesmooth n-1,n-1-forms. Without assuming the validity of the conjecture weprove that this equality of cones still holds at the level of degree functions.



Author: Matei Toma

Source: https://arxiv.org/







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