A Remark on Two Notions of Order of Contact

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Abstract

We recall two measurements of the order of contact of an ideal in the ring of germs of holomorphic functions at a point, and we provide a class of examples in which they differ.

Keywords

Orders of contact Germs of complex analytic varieties Pseudoconvexity Real hypersurfaces 

Mathematics Subject Classification

Primary 32F18 32T25 Secondary 32V35 13H15 

Notes

Acknowledgements

This research was partially supported by NSF Grant DMS 13-61001 of John D’Angelo. The author would like to thank Professor D’Angelo for his support and guidance. The author also wishes to thank the anonymous referees for helpful suggestions. During the revision process of this paper, the author received from Nicoara the preprint [2], which acknowledges this work and corrects [1].

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Copyright information

© Mathematica Josephina, Inc. 2018

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of IllinoisUrbanaUSA

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