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Non-hyperbolic complex space with a hyperbolic normalization

Author(s): Shulim Kaliman; Mikhail Zaidenberg
Journal: Proc. Amer. Math. Soc. 129 (2001), 1391-1393.
MSC (2000): Primary 32H15, 32H20
Posted: October 20, 2000
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Abstract: We construct an example of a non-hyperbolic singular projective surface $X$ whose normalization $V$ is the square of a genus 3 curve $C$and hence, hyperbolic.

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B. Shiffman and M. Zaidenberg, Two classes of hyperbolic surfaces in $\mathbb{P}^3$. International J. Math. 11:1, 2000 (to appear); preprint MPI-1998-129, 33p., http://www.mpim-bonn.mpg.de/.

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M. Zaidenberg, Stability of hyperbolic embeddedness and construction of examples. Math. USSR Sbornik 135 (1988), 361-372, 415. MR 89f:32047

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Additional Information:

Shulim Kaliman
Affiliation: Department of Mathematics and Computer Science, University of Miami, Coral Gables, Florida 33124
Email: kaliman@cs.miami.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: 10.1090/S0002-9939-00-05711-7
PII: S 0002-9939(00)05711-7
Received by editor(s): July 30, 1999
Posted: October 20, 2000
Communicated by: Steven R. Bell
Copyright of article: Copyright 2000, American Mathematical Society

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