Optimal L2 extension of sections fromsubvarieties in weakly pseudoconvex manifolds
Xiangyu Zhou, Langfeng Zhu
Abstract
In this paper, we obtain optimal $L^2$ extension of holomorphic sections of a holomorphic vector bundle from subvarieties in weakly pseudoconvex K\"{a}hler manifolds. Moreover, in the case of line bundle the Hermitian metric is allowed to be singular.
Topics & Concepts
MathematicsHolomorphic functionExtension (predicate logic)Pure mathematicsVector bundleMetric (unit)Line bundleHermitian manifoldNormal bundleHermitian matrixBundleMathematical analysisComplex manifoldFrame bundleLine (geometry)Ample line bundleTautological line bundleVector-valued differential formGeometry and complex manifoldsHolomorphic and Operator TheoryGeometric Analysis and Curvature Flows