2 papers
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.AG2005
On quasihomogeneous curves
Abdallah Assi, Avinash Sathaye
A hypersurface is said to be quasihomogeneous if in suitable coordinates with assigned weights, its equation becomes weighted homogeneous in its variables. For an irreducible quasi…