A tranversality theorem for holomorphic mappings and stability of Eisenman-Kobayashi measures

  title={A tranversality theorem for holomorphic mappings and stability of Eisenman-Kobayashi measures},
  author={Shulim Kaliman and Mikhail Zaidenberg},
  journal={Transactions of the American Mathematical Society},
We show that Thom’s Transversality Theorem is valid for holomorphic mappings from Stein manifolds. More precisely, given such a mapping f : S → M from a Stein manifold S to a complex manifold M and given an analytic subset A of the jet space Jk(S,M), f can be approximated in neighborhoods of compacts by holomorphic mappings whose k-jet extensions are transversal to A. As an application the stability of Eisenman-Kobayshi intrinsic k-measures with respect to deleting analytic subsets of… Expand
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