Pillars and towers of quadratic transformations

Abhyankar, Shreeram

doi:10.1090/S0002-9939-2011-10731-7

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.

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