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Mathematics of Computation

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Explicit resolutions of cubic cusp singularities

Author: H. G. Grundman
Journal: Math. Comp. 69 (2000), 815-825
MSC (1991): Primary :, 32S45, 11J30; Secondary :, 11-04
Published electronically: May 21, 1999
MathSciNet review: 1651756
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Abstract: Resolutions of cusp singularities are crucial to many techniques in computational number theory, and therefore finding explicit resolutions of these singularities has been the focus of a great deal of research. This paper presents an implementation of a sequence of algorithms leading to explicit resolutions of cusp singularities arising from totally real cubic number fields. As an example, the implementation is used to compute values of partial zeta functions associated to these cusps.

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Additional Information

H. G. Grundman
Affiliation: Department of Mathematics, Bryn Mawr College, Bryn Mawr, PA 19010

Received by editor(s): June 6, 1997
Received by editor(s) in revised form: June 22, 1998
Published electronically: May 21, 1999
Additional Notes: This material is based partially on work supported by the National Science Foundation under Grant No. DMS-9115349 and by the Faculty Research Fund of Bryn Mawr College.
Article copyright: © Copyright 2000 H. G. Grundman