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Explicit bounds for the finite jet determination problem


Author: Bernhard Lamel
Journal: Trans. Amer. Math. Soc. 358 (2006), 3447-3457
MSC (2000): Primary 32H02
DOI: https://doi.org/10.1090/S0002-9947-06-04144-4
Published electronically: March 1, 2006
MathSciNet review: 2218983
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Abstract: We introduce biholomorphic invariants for (germs of) rigid holomorphically nondegenerate real hypersurfaces in complex space and show how they can be used to compute explicit bounds on the order of jets for which biholomorphisms of the hypersurface are determined uniquely by their jets. The main result which allows us to derive these bounds is a theorem which shows that solutions of certain singular analytic equations are uniquely determined by their $ 1$-jet.


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Additional Information

Bernhard Lamel
Affiliation: Fakultät für Mathematik, Universität Wien, Nordbergstrasse 15, A-1090 Wien, Austria
Email: lamelb@member.ams.org

DOI: https://doi.org/10.1090/S0002-9947-06-04144-4
Received by editor(s): May 17, 2004
Published electronically: March 1, 2006
Additional Notes: The author was supported by the FWF, Projekt P15279 and P17111.
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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