Hyperbolic hypersurfaces in of Fermat-Waring type

Authors:
Bernard Shiffman and Mikhail Zaidenberg

Journal:
Proc. Amer. Math. Soc. **130** (2002), 2031-2035

MSC (2000):
Primary 32Q45, 32H25; Secondary 14J70

DOI:
https://doi.org/10.1090/S0002-9939-01-06417-6

Published electronically:
December 27, 2001

MathSciNet review:
1896038

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this note we show that there are algebraic families of hyperbolic, Fermat-Waring type hypersurfaces in of degree , for all dimensions . Moreover, there are hyperbolic Fermat-Waring hypersurfaces in of degree possessing complete hyperbolic, hyperbolically embedded complements.

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Additional Information

**Bernard Shiffman**

Affiliation:
Department of Mathematics, Johns Hopkins University, Baltimore, Maryland 21218

Email:
shiffman@math.jhu.edu

**Mikhail Zaidenberg**

Affiliation:
Université Grenoble I, Institut Fourier, UMR 5582 CNRS-UJF, BP 74, 38402 St. Martin d’Hères cédex, France

Email:
zaidenbe@ujf-grenoble.fr

DOI:
https://doi.org/10.1090/S0002-9939-01-06417-6

Received by editor(s):
January 26, 2001

Published electronically:
December 27, 2001

Additional Notes:
Research of the first author partially supported by NSF grant #DMS-9800479.

Communicated by:
Steven R. Bell

Article copyright:
© Copyright 2001
American Mathematical Society