Explicit bounds for the finite jet determination problem
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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.References
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Additional Information
- Bernhard Lamel
- Affiliation: Fakultät für Mathematik, Universität Wien, Nordbergstrasse 15, A-1090 Wien, Austria
- MR Author ID: 685199
- ORCID: 0000-0002-6322-6360
- Email: lamelb@member.ams.org
- 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.
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 358 (2006), 3447-3457
- MSC (2000): Primary 32H02
- DOI: https://doi.org/10.1090/S0002-9947-06-04144-4
- MathSciNet review: 2218983