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

 

Simultaneous resolution of singularities


Author: Steven Dale Cutkosky
Journal: Proc. Amer. Math. Soc. 128 (2000), 1905-1910
MSC (1991): Primary 13B15, 14B05
Published electronically: November 24, 1999
MathSciNet review: 1646312
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Abstract: We prove a local theorem on simultaneous resolution of singularities, which is valid in all dimensions. This theorem is proven in dimension 2 (and in all characteristics) by Abhyankar in his book ``Ramification theoretic methods in algebraic geometry'' (1959).


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Additional Information

Steven Dale Cutkosky
Affiliation: Department of Mathematics, University of Missouri, Columbia, Missouri 65211
Email: dale@cutkosky.math.missouri.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05191-6
PII: S 0002-9939(99)05191-6
Received by editor(s): April 27, 1998
Received by editor(s) in revised form: August 24, 1998
Published electronically: November 24, 1999
Additional Notes: The author was partially supported by NSF
Communicated by: Wolmer V. Vasconcelos
Article copyright: © Copyright 2000 American Mathematical Society