Plurisubharmonic Extremal Functions, Lelong Numbers and Coherent Ideal Sheaves

  • Finnur L arusson
  • Published 1998


We introduce a new type of pluricomplex Green function which has a logarithmic pole along a complex subspace A of a complex manifold X. It is the largest negative plurisubharmonic function on X whose Lelong number is at least the Lelong number of log maxfjf 1 j; : :: ; jf m jg, where f 1 ; : :: ; f m are local generators for the ideal sheaf of A. The… (More)