Quadratic transforms inside their generic incarnations

Author:
Shreeram S. Abhyankar

Journal:
Proc. Amer. Math. Soc. **140** (2012), 4111-4126

MSC (2010):
Primary 14A05

DOI:
https://doi.org/10.1090/S0002-9939-2012-11583-7

Published electronically:
April 12, 2012

MathSciNet review:
2957201

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Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0002-9939-2012-11583-7

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.