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

Stückrad, Jürgen; Vogel, Wolfgang

 
9783662025024: Buchsbaum Rings and Applications: An Interaction Between Algebra, Geometry and Topology
Brossura
ISBN 10: 3662025027 ISBN 13: 9783662025024
Casa editrice: Springer, 2014

Sinossi

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.

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Contenuti

and some examples.- 0 Some foundations of commutative and homological algebra.- I Characterizations of Buchsbaum modules.- II Hochster-Reisner theory for monomial ideals. An interaction between algebraic geometry, algebraic topology and combinatorics.- III On liaison among curves in projective three space.- IV Rees modules and associated graded modules of a Buchsbaum module.- V Further applications and examples.- Appendix On generalizations of Buchsbaum modules.- Notations.

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Editore
Springer
Data di pubblicazione
2014
Lingua
Inglese
ISBN 10 
3662025027
ISBN 13 
9783662025024
Rilegatura
Copertina flessibile
Numero di pagine
288
Contatto del produttore
ProductSafety@springernature.com
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Poststr. 9
Darmstadt
64293
Germania

Altre edizioni note dello stesso titolo

9780387168449: Buchsbaum Rings and Applications: An Interaction Between Algebra, Geometry and Topology

Edizione in evidenza

ISBN 10:  0387168443 ISBN 13:  9780387168449
Casa editrice: SPRINGER NATURE, 1987
Rilegato