Exotic analytic structures and Eisenman intrinsic measures

  • Shulim Kaliman
Article
Received:

Abstract

Using Eisenman intrinsic measures we prove a cancellation theorem. This theorem allows to find new examples of exotic analytic structures onC n under which we understand smooth complex affine algebraic varietiers which are diffeomorphic toR 2n but not biholomorphic toC n . We also develop a new method of constructing these structures which enables us to produce exotic analytic structures onC 3 with a given number of hypersurfaces isomorphic toC 2 and a family of these structures with a given number of moduli.

Keywords

Complex Manifold Algebraic Variety Hyperbolic Type Kodaira Dimension Smooth Complex 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Hebrew University 1994

Authors and Affiliations

  • Shulim Kaliman
    • 1
  1. 1.Department of Mathematics and Computer ScienceUniversity of MiamiCoral GablesU.S.A.

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