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Using the notion of uniruledness we indicate a class of algebraic varieties which have a stronger version of the cancellation property. Moreover, we give an affirmative solution to the stable equivalence problem for non-uniruled hypersurfaces.
Given a positive singular hermitian metric of a pseudoeffective line bundle on a complex
Kähler manifold, a singular foliation is constructed satisfying certain analytic
analogues of numerical conditions. This foliation refines Tsuji’s numerically trivial
fibration and the Iitaka fibration. Using almost positive singular hermitian metrics with
analytic singularities on a pseudo-effective line bundle , a foliation is constructed
refining the nef fibration. If the singularities of the foliation are...
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