Discriminants, resultants and multidimensional determinants/
Israel M. Gelfand, Mikhail Kapranov and Andrei Zelevinsky
- Boston: Birkhauser, 2008.
- x, 523 p. : ill. ; 24 cm.
- (Modern Birkhauser classics) .
I : General discriminants and resultants -- Projective dual varieties and general discriminants -- The Cayley method for studying discriminants -- Associated varieties and general resultants -- Chow varieties -- II : A-discriminants and A-resultants -- Toric varieties -- Newton polytopes and chow polytopes -- Triangulations and secondary polytopes -- A-resultants and chow polytopes of toric varieties -- A-discriminants -- Principal A-determinants -- Regular A-determinants and A-discriminants -- III : Classical discriminants and resultants -- Discriminants and resultants for polynomials in one variable -- Discriminants and resultants for forms in several variables -- Hyperdeterminants.