Buchsbaum Rings and Applications: An Interaction Between Algebra, Geometry and Topology

Jurgen Stuckrad, Wolfgang Vogel

ISBN 10: 3662025027 / ISBN 13: 9783662025024

Published by Springer 2014-09-12, 2014

About this Item

Seller Inventory # 6666-IUK-9783662025024

Bibliographic Details

• Title: Buchsbaum Rings and Applications: An Interaction Between Algebra, Geometry and Topology
• Publisher: Springer 2014-09-12
• Publication Date: 2014
• Language: English
• ISBN 10: 3662025027
• ISBN 13: 9783662025024
• Binding: Paperback
• Condition: New

About this title

Synopsis

Da die algebraische Geometrie wesentlich vom Fundamentalsatz der Algebra ausgeht, den man nur deshalb in der gewohnten aUgemeinen Form aussprechen kann, weil man dabei die Vielfachheit der Losungen in Betracht zieht, so mull man auch bei jedem Resultat der algebra is chen Geometrie beim Zuriickschreiten die gemeinsame QueUe wiederfinden. Das ware aber nicht mehr moglich, wenn man auf dem Wege das Werkzeug verlore, welches den Fundamentalsatz fruchtbar uud bedeutungsreich macht. Francesco Severi Abh. Math. Sem. Hansischen Univ. 15 (1943), p. 100 This book describes interactions between algebraic geometry, commutative and homo- logical algebra, algebraic topology and combinatorics. The main object of study are Buchsbaum rings. The basic underlying idea of a Buchsbaum ring is a continuation of the well-known concept of a Cohen-Macaulay ring, its necessity being created by open questions of algebraic geometry and algebraic topology. The theory of Buchsbaum rings started from a negative answer to a problem of David A. Buchsbaum. The concept of this theory was introduced in our joint paper published in 1973.