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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Vanishing theorems, boundedness and hyperbolicity over higher-dimensional bases


Author: Sándor J. Kovács
Journal: Proc. Amer. Math. Soc. 131 (2003), 3353-3364
MSC (2000): Primary 14J10
Published electronically: May 5, 2003
MathSciNet review: 1990623
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Abstract: A vanishing theorem is proved for families over higher dimensional bases and applied to generalize some Shafarevich type statements to that setting.


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Additional Information

Sándor J. Kovács
Affiliation: Department of Mathematics, University of Washington, 354350, Seattle, Washington 98195
Email: kovacs@math.washington.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-03-07070-9
PII: S 0002-9939(03)07070-9
Received by editor(s): April 4, 2001
Received by editor(s) in revised form: June 10, 2002
Published electronically: May 5, 2003
Additional Notes: This work was supported in part by NSF Grants DMS-0196072, DMS-0092165, and a Sloan Research Fellowship.
Communicated by: Michael Stillman
Article copyright: © Copyright 2003 American Mathematical Society