Gelfand I. Discriminants, Resultants, and Multidimensional Determinants 1994 torrent

Textbook in PDF format

This book revives and vastly expands the classical theory of resultants and discriminants. Most of the main new results of the book have been published earlier in more than a dozen joint papers of the authors. The book nicely complements these original papers with many examples illustrating both old and new results of the theory.
Projective Dual Varieties and General Discriminants
The Cayley Method for Studying Discriminants
Associated Varieties and General Resultants
Chow Varieties
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
Discriminants and Resultants for Polynomials in One Variable
Discriminants and Resultants for Forms in Several Variables
Hyperdeterminants
Appendix. Determinants of Complexes
Appendix. A. Cayley: On the Theory of Elimination
Notes and References
List of Notations