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

 

Affine hypersurfaces with Gorenstein singular loci


Authors: Monique Lejeune-Jalabert and Ruth I. Michler
Journal: Proc. Amer. Math. Soc. 130 (2002), 3453-3460
MSC (2000): Primary 13N05, 14J17, 14J70
Published electronically: May 8, 2002
MathSciNet review: 1918820
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Abstract: The main result of this paper presents necessary and sufficient criteria for the torsion module of differentials of an affine hypersurface with isolated singularities to be cyclic.


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Additional Information

Monique Lejeune-Jalabert
Affiliation: Laboratoire de Mathématiques, UMR 8100 CNRS, 45 Avenue des Etats-Unis, Université de Versailles-St. Quentin, F-78035, Versailles, France
Email: lejeune@math.uvsq.fr

Ruth I. Michler
Affiliation: Department of Mathematics, University of North Texas, Denton, Texas 76203

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06479-1
PII: S 0002-9939(02)06479-1
Keywords: Quasi-homogeneous, differentials
Received by editor(s): May 16, 2001
Received by editor(s) in revised form: July 2, 2001
Published electronically: May 8, 2002
Additional Notes: The first author was supported by C.N.R.S
The second author was supported by NSF-DMS 0075057. She was killed in a tragic traffic accident in Boston on November 1, 2000.
Communicated by: Wolmer V. Vasconcelos
Article copyright: © Copyright 2002 American Mathematical Society