Generic incarnations of quadratic transforms

Author:
Shreeram S. Abhyankar

Journal:
Proc. Amer. Math. Soc. **141** (2013), 4103-4117

MSC (2010):
Primary 14A05

Published electronically:
August 7, 2013

MathSciNet review:
3105854

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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 is applied to proving some useful facts about intersection, such as the commutativity of contact numbers and the mixed characteristic generalization of Max Noether's Theorem on Refined Bezout.

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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/S0002-9939-2013-12027-7

Keywords:
Contact number,
generic incarnation,
mixed characteristic

Received by editor(s):
February 1, 2012

Published electronically:
August 7, 2013

Communicated by:
Lev Borisov

Article copyright:
© Copyright 2013
American Mathematical Society