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

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