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

 

Quadratic transforms inside their generic incarnations


Author: Shreeram S. Abhyankar
Journal: Proc. Amer. Math. Soc. 140 (2012), 4111-4126
MSC (2010): Primary 14A05
Published electronically: April 12, 2012
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Abstract: The generic incarnation of a quadratic transform is obtained by adjoining an indeterminate. This leads to the singularity tree of a generic member of a pencil of curves.


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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/S0002-9939-2012-11583-7
PII: S 0002-9939(2012)11583-7
Keywords: Pencil, singularity tree, generic member
Received by editor(s): May 25, 2011
Published electronically: April 12, 2012
Communicated by: Lev Borisov
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.