A Complex Frobenius Theorem, Multiplier Ideal Sheaves and Hermitian-einstein Metrics on Stable Bundles

@inproceedings{Weinkove2003ACF,
title={A Complex Frobenius Theorem, Multiplier Ideal Sheaves and Hermitian-einstein Metrics on Stable Bundles},
author={Ben Weinkove},
year={2003}
}

Ben Weinkove

Published 2003

A complex Frobenius theorem is proved for subsheaves of a holomorphic vector bundle satisfying a finite generation condition and a differential inclusion relation. A notion of ‘multiplier ideal sheaf’ for a sequence of Hermitian metrics is defined. The complex Frobenius theorem is applied to the multiplier ideal sheaf of a sequence of metrics along Donaldson’s heat flow to give a construction of the destabilizing subsheaf appearing in the DonaldsonUhlenbeck-Yau theorem, in the case of algebraic… CONTINUE READING