Corpus ID: 46721773

Singular hermitian metrics on vector bundles

  title={Singular hermitian metrics on vector bundles},
  author={Michael Schneider},
  • Michael Schneider
  • Published 1998
  • We introduce a notion of singular hermitian metrics (s.h.m.) for holomorphic vector bundles and de ne positivity in view of L2-estimates. Associated with a suitably positive s.h.m. there is a (coherent) sheaf 0-th kernel of a certain d FF-complex. We prove a vanishing theorem for the cohomology of this sheaf. All this generalizes to the case of higher rank known results of Nadel for the case of line bundles. We introduce a new semi-positivity notion, t-nefness, for vector bundles, establish… CONTINUE READING


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