A Chain Rule for Multivariable Resultants

DOI10.2307/2160699zbMath0845.12001OpenAlexW4232853617MaRDI QIDQ4844414

Charles Ching-An Cheng, Stuart Sui-Sheng Wang, James H. McKay

Publication date: 29 October 1995

Full work available at URL: https://doi.org/10.2307/2160699

zbMATH Keywords

generic polynomialschain rulehomogeneous polynomial mapsisobaric propertymultivariable resultant

Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Polynomials over commutative rings (13B25)

Related Items

Isotriviality is equivalent to potential good reduction for endomorphisms of over function fields ⋮ Sparse resultant under vanishing coefficients ⋮ Dense resultant of composed polynomials: mixed-mixed case ⋮ Resultants of partially composed polynomials ⋮ A chain rule for subresultants ⋮ Resultants of Cyclotomic Polynomials ⋮ Cayley-Dixon projection operator for multi-univariate composed polynomials ⋮ Sparse resultant of composed polynomials. I: Mixed-unmixed case. ⋮ Sparse resultant of composed polynomials. II: Unmixed-mixed case. ⋮ Global minimal models for endomorphisms of projective space

Cites Work

• On some resultant identities
• A chain rule for the resultant of two homogeneous polynomials
• A chain rule for the resultant of two polynomials
• On the reconstruction of polynomial automorphisms from their face polynomials
• Algebraic independence criteria.
• Discriminants of polynomials in several variables
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