L^2 extension of adjoint line bundle sections

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Extension of Sections via Adjoint Ideals

We prove some extension theorems and applications, inspired by the very interesting recent results of Hacon-McKernan [HM1], [HM2] and Takayama [Ta], used in the minimal model program and in turn inspired by fundamental results of Siu. Parts of the proofs we give follow quite closely techniques in [Ka], [HM1], [HM2], and [Laz], which use asymptotic constructions. Related analytic statements are ...

متن کامل

Extension for Jets of Holomorphic Sections of a Hermitian Line Bundle

Abstract. Let (X,ω) be a weakly pseudoconvex Kähler manifold, Y ⊂ X a closed submanifold defined by some holomorphic section of a vector bundle over X, and L a Hermitian line bundle satisfying certain positivity conditions. We prove that for any integer k ≥ 0, any section of the jet sheaf L⊗OX/I Y , which satisfies a certain L2 condition, can be extended into a global holomorphic section of L o...

متن کامل

The Lie Algebra of Smooth Sections of a T-bundle

In this article, we generalize the concept of the Lie algebra of vector fields to the set of smooth sections of a T-bundle which is by definition a canonical generalization of the concept of a tangent bundle. We define a Lie bracket multiplication on this set so that it becomes a Lie algebra. In the particular case of tangent bundles this Lie algebra coincides with the Lie algebra of vector fie...

متن کامل

A Criterion for Flatness of Sections of Adjoint Bundle of a Holomorphic Principal Bundle over a Riemann Surface

Let EG be a holomorphic principal G–bundle over a compact connected Riemann surface, where G is a connected reductive affine algebraic group defined over C, such that EG admits a holomorphic connection. Take any β ∈ H(X, ad(EG)), where ad(EG) is the adjoint vector bundle for EG, such that the conjugacy class β(x) ∈ g/G, x ∈ X , is independent of x. We give a sufficient condition for the existen...

متن کامل

Extension of Sections via Adjoint Ideals Lawrence Ein and Mihnea Popa

We prove some extension theorems and applications, inspired by the very interesting recent results of Hacon-McKernan [HM1], [HM2] and Takayama [Ta], used in the minimal model program and in turn inspired by fundamental results of Siu. Parts of the proofs we give follow quite closely techniques in [Ka], [HM1], [HM2], and [Laz], which use asymptotic constructions. Some related analytic statements...

متن کامل

ذخیره 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: Annales de l’institut Fourier

سال: 2010

ISSN: 0373-0956,1777-5310

DOI: 10.5802/aif.2560