Macaulay Style Formulas for the Toric Residue

Details Macaulay Style Formulas for the Toric Residue Macaulay Style Formulas for the Toric Residue

2003-07-11

arxiv.org/abs/math/0307154v1

Mathematics

Algebraic Geometry

20 pages, presented at MEGA 2003

Scientific paper

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 irreducible representation of toric residues by
extending the theory of subresultants to monomials of critical degree in the
homogeneous coordinate ring of the corresponding toric variety.

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