1 Singular hermitian metrics on positive line bundles

  • Jean-Pierre Demailly
  • Published 2007


— The notion of a singular hermitian metric on a holomorphic line bundle is introduced as a tool for the study of various algebraic questions. One of the main interests of such metrics is the corresponding L vanishing theorem for ∂ cohomology, which gives a useful criterion for the existence of sections. In this context, numerically effective line bundles… (More)



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