6 papers
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.
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.
Rees valuations
Shreeram S Abhyankar, William J Heinzer
We study dicritical divisors and Rees valuations.
Jacobian pairs
S. S. Abhyankar, A. Assi
We study meromorphic jacobian pairs, i.e., pairs of polynomials in one variable, with coefficients meromorphic series in a second variable, whose jacobian relative to the two varia…
Jacobian of meromorphic curves
S. S. Abhyankar, A. Assi
The contact structure of two meromorphic curves gives a factorization of their jacobian.
Galois theory on the line in nonzero characteristic
Shreeram S. Abhyankar
The author surveys Galois theory of function fields with non-zero caracteristic and its relation to the structure of finite permutation groups and matrix groups.