منابع مشابه
A Canonical Bundle Formula
A higher dimensional analogue of Kodaira's canonical bundle formula is obtained. As applications, we prove that the logcanonical ring of a klt pair with 3 is nitely generated, and that there exists an e ectively computable natural numberM such that jMK X j induces the Iitaka bering for every algebraic threefold X with Kodaira dimension = 1.
متن کاملA Canonical Bundle Formula for Projective Lagrangian Fibrations
We classify singular fibres of a projective Lagrangian fibration over codimension one points. As an application, we obtain a canonical bundle formula for a projective Lagrangian fibration over a smooth manifold.
متن کاملOn a Projective Bundle Formula
For a vector bundle E → X with X a smooth variety over a field we prove a formula for the proper pushforward π∗ : A ∗ P(E ) → A∗X, where π : P(E ) → X denotes the associated projective bundle of lines in E . Our formula is relative in the sense that it depends on the rank of E while being independent of the dimension of X. As applications, we apply the formula to compute the pushforward to X of...
متن کاملBase Point Free Theorems —saturation, B-divisors, and Canonical Bundle Formula—
We reformulate the Kawamata-Shokurov base point free theorem by using the notion of b-divisors and saturation of linear systems, which was introduced by Shokurov. Combining the refined Kawamata-Shokurov base point free theorem with Ambro’s canonical bundle formula, we quickly reprove the main theorem of Kawamata’s paper: Pluricanonical systems on minimal algebraic varieties, without using the n...
متن کاملOn the Canonical Line Bundle and Negative Holomorphic Sectional Curvature
We prove that a smooth complex projective threefold with a Kähler metric of negative holomorphic sectional curvature has ample canonical line bundle. In dimensions greater than three, we prove that, under equal assumptions, the nef dimension of the canonical line bundle is maximal. With certain additional assumptions, ampleness is again obtained. The methods used come from both complex differen...
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: Journal of Differential Geometry
سال: 2000
ISSN: 0022-040X
DOI: 10.4310/jdg/1090347529