Fundamental Properties of Basic Slc-Trivial Fibrations II
نویسندگان
چکیده
We prove that if the moduli $\mathbb{Q}$-b-divisor of a basic slc-trivial fibration is b-numerically trivial then it $\mathbb{Q}$-b-linearly trivial. As consequence, we part semi-ample when base space curve.
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 کاملSymplectic Lefschetz fibrations with arbitrary fundamental groups
In this paper we give an explicit construction of a symplectic Lefschetz fibration whose total space is a smooth compact four dimensional manifold with a prescribed fundamental group. We also study the numerical properties of the sections in symplectic Lefschetz fibrations and their relation to the structure of the monodromy group. Partially supported by DGYCYT grant PB96-0234 Partially support...
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 کاملFundamental groups of moduli stacks of smooth Weierstrass fibrations
We give finite presentations for the fundamental group of moduli stacks of smooth Weierstrass curves over Pn which extend the classical result for elliptic curves to positive dimensional base. We thus get natural generalisations of SL2Z presented in terms of ( 1 1 0 1 ), ( 1 0 −1 1 ) and pave the way to understanding the fundamental group of moduli stacks of elliptic surfaces in general. Our ap...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Publications of The Research Institute for Mathematical Sciences
سال: 2022
ISSN: ['1663-4926', '0034-5318']
DOI: https://doi.org/10.4171/prims/58-3-3