منابع مشابه
Numerically Trivial Fibrations
We develop an intersection theory for a singular hermitian line bundle with positive curvature current on a smooth projective variety and irreducible curves on the variety. And we prove the existence of a natural rational fibration structure associated with the singular hermitian line bundle. Also for any pseudoeffective line bundle on a smooth projective variety, we prove the existence of a na...
متن کاملNumerically Trivial Foliations, Iitaka Fibrations and the Numerical Dimension
Modifying the notion of numerically trivial foliation of a pseudoeffective line bundle L introduced by the author in [Eck04a] (see also math.AG/0304312) it can be shown that the leaves of this foliation have codimension ≥ the numerical dimension of L as defined by Boucksom, Demailly, Paun and Peternell, math.AG/0405285. Furthermore, if the Kodaira dimension of L equals its numerical dimension t...
متن کاملNumerical Properties of Isotrivial Fibrations
A smooth, projective surface S is called a standard isotrivial fibration if there exists a finite group G which acts faithfully on two smooth projective curves C1 and C2, so that S is isomorphic to the minimal desingularization of T := (C1 × C2)/G, where G acts diagonally on the product. When the action of G is free, then S = T is called a quasi-bundle. In this paper we analyse several numerica...
متن کاملDiagonal Fibrations Are Pointwise Fibrations
On the category of bisimplicial sets there are different Quillen closed model structures associated to various definitions of fibrations. In one of them, which is due to Bousfield and Kan and that consists of seeing a bisimplicial set as a simplicial object in the category of simplicial sets, fibrations are those bisimplicial set maps such that each of the induced simplicial set maps is a Kan f...
متن کاملThe Gromov-witten and Donaldson-thomas Correspondence for Trivial Elliptic Fibrations
We study the Gromov-Witten and Donaldson-Thomas correspondence conjectured in [MNOP1, MNOP2] for trivial elliptic fibrations. In particular, we verify the Gromov-Witten and Donaldson-Thomas correspondence for primary fields when the threefold is E × S where E is a smooth elliptic curve and S is a smooth surface with numerically trivial canonical class.
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ژورنال
عنوان ژورنال: Journal of Algebraic Geometry
سال: 2004
ISSN: 1056-3911,1534-7486
DOI: 10.1090/s1056-3911-04-00363-7