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More about dicriticals


Author: Shreeram S. Abhyankar
Journal: Proc. Amer. Math. Soc. 139 (2011), 3083-3097
MSC (2010): Primary 14A05
Published electronically: January 24, 2011
MathSciNet review: 2811264
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Abstract: This paper attempts to characterize the dicritical set of a rational function which generates a special pencil at a simple point of an algebraic or arithmetical surface.


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Additional Information

Shreeram S. Abhyankar
Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Email: ram@cs.purdue.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-2011-10732-9
Keywords: Criticals, special pencil
Received by editor(s): January 30, 2010
Received by editor(s) in revised form: August 7, 2010
Published electronically: January 24, 2011
Communicated by: Bernd Ulrich
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.