Pillars and towers of quadratic transformations
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- by Shreeram S. Abhyankar PDF
- Proc. Amer. Math. Soc. 139 (2011), 3067-3082 Request permission
Abstract:
Infinite pillars of quadratic transformations are used to describe residue fields of subrings of finitely generated ring extensions of the ring of integers. Towers whose underlying quadratic transformations are finite pillars or nonpillars are employed for the construction of basic dicritical divisors.References
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Additional Information
- Shreeram S. Abhyankar
- Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
- Email: ram@cs.purdue.edu
- Received by editor(s): January 30, 2010
- Received by editor(s) in revised form: August 7, 2010
- Published electronically: January 19, 2011
- Communicated by: Bernd Ulrich
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 3067-3082
- MSC (2010): Primary 14A05
- DOI: https://doi.org/10.1090/S0002-9939-2011-10731-7
- MathSciNet review: 2811263