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math.AG2004
Implicitization of rational surfaces using toric varieties
Amit Khetan, Carlos D'Andrea
A parameterized surface can be represented as a projection from a certain toric surface. This generalizes the classical homogeneous and bihomogeneous parameterizations. We extend t…
math.AG2003★ 2 cited
Macaulay Style Formulas for the Toric Residue
Carlos D'Andrea, Amit Khetan
We present an explicit formula for computing toric residues as a quotient of two determinants, a la Macaulay, where the numerator is a minor of the denominator. We also give an irr…
math.AG2002★ 1 cited
The Resultant of an Unmixed Bivariate System
Amit Khetan
This paper gives an explicit method for computing the resultant of any sparse unmixed bivariate system with given support. We construct square matrices whose determinant is exactly…