A complex Frobenius theorem, multiplier ideal sheaves and Hermitian-Einstein metrics on stable bundles

Details A complex Frobenius theorem, multiplier ideal sheaves and Hermitian-Einstein metrics on stable bundles A complex Frobenius theorem, multiplier ideal sheaves and Hermitian-Einstein metrics on stable bundles

2003-06-04

arxiv.org/abs/math/0306073v3

Mathematics

Differential Geometry

21 pages; correction to statement and proof of C^{\infty} part of complex Frobenius; rest unchanged

Scientific paper

This paper describes how, in the case of algebraic surfaces, the well-known theorem of Donaldson-Uhlenbeck-Yau can be proved in a framework of generalized 'multiplier ideal sheaves', following the ideas of Siu. The key concept is that the destabilizing sheaf satisfies a differential inclusion relation. This relation is used, together with a complex Frobenius theorem for locally finitely generated subsheaves, to imply coherence of the destabilizing subsheaf.

Affiliated with

Also associated with

No associations

Rating

A complex Frobenius theorem, multiplier ideal sheaves and Hermitian-Einstein metrics on stable bundles 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 complex Frobenius theorem, multiplier ideal sheaves and Hermitian-Einstein metrics on stable bundles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A complex Frobenius theorem, multiplier ideal sheaves and Hermitian-Einstein metrics on stable bundles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-129743