A Takayama-type extension theorem

Details A Takayama-type extension theorem A Takayama-type extension theorem

2006-07-13

arxiv.org/abs/math/0607323v1

Mathematics

Complex Variables

Scientific paper

We prove a theorem on the extension of holomorphic sections of powers of adjoint bundles from submanifolds of complex codimension 1 having non-trivial normal bundle. The first such result, due to Takayama, considers the case where the canonical bundle is twisted by a line bundle that is a sum of a big and nef line bundle and a ${\mathbb Q}$-divisor that has kawamata log terminal singularites on the submanifold from which extension occurs. In this paper we weaken the positivity assumptions on the twisting line bundle to what we believe to be the minimal positivity hypotheses. The main new idea is an $L^2$ extension theorem of Ohsawa-Takegoshi type, in which twisted canonical sections are extended from submanifolds with non-trivial normal bundle.

Affiliated with

Also associated with

No associations

Rating

A Takayama-type extension theorem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Takayama-type extension theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Takayama-type extension theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-481043