Discriminants, Resultants, and Multidimensional Determinants

Nachdruck of the 1994 Auflage Softcover Nachdruck of the original 1. Auflage 1994
ISBN: 978-0-8176-4770-4
Verlag: Birkhäuser Boston

Buch, Englisch, 523 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1650 g

Reihe: Modern Birkhäuser Classics

“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.”

Mathematical Reviews

“Collecting and extending the fundamental and highly original results of the authors, it presents a unique blend of classical mathematics and very recent developments in algebraic geometry, homological algebra, and combinatorial theory.”

Zentralblatt Math

Zielgruppe

Research

Autoren/Hrsg.

Gelfand, Israel M.

Zelevinsky, Andrei

Kapranov, Mikhail

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Operations Research Graphentheorie
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Algebra Elementare Algebra
• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie

Inhaltsverzeichnis

General Discriminants and Resultants.- Projective Dual Varieties and General Discriminants.- The Cayley Method for Studying Discriminants.- Associated Varieties and General Resultants.- Chow Varieties.- 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.- Classical Discriminants and Resultants.- Discriminants and Resultants for Polynomials in One Variable.- Discriminants and Resultants for Forms in Several Variables.- Hyperdeterminants.