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math.AC2015
Translates of Polynomials
Shreeram S. Abhyankar, William J. Heinzer, Avinash Sathaye
Let f = 0 be a hypersurface in n-dimensional affine space over a field k. We consider the pencil of hypersurfaces f- c = 0 with c varying over k.
math.AC2015
Existence of Dicritical Divisors Revisited
Shreeram S. Abhyankar, William J. Heinzer
We characterize the diacriticals of special pencils. We also initiate higher dimensional dicritical theory.
math.AC2015
Rees valuations
Shreeram S Abhyankar, William J Heinzer
We study dicritical divisors and Rees valuations.