Integral Closure: Rees Algebras, Multiplicities, Algorithms - Brossura

Vasconcelos, Wolmer

Brossura

ISBN 10: 3642064922 ISBN 13: 9783642064920

Casa editrice: Springer, 2010

Riassunto

Integral Closure gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. These are shared concerns in commutative algebra, algebraic geometry, number theory and the computational aspects of these fields. The overall goal is to determine and analyze the equations of the assemblages of the set of solutions that arise under various processes and algorithms. It gives a comprehensive treatment of Rees algebras and multiplicity theory - while pointing to applications in many other problem areas. Its main goal is to provide complexity estimates by tracking numerically invariants of the structures that may occur.

This book is intended for graduate students and researchers in the fields mentioned above. It contains, besides exercises aimed at giving insights, numerous research problems motivated by the developments reported.

Su questo libro

Informazioni sull'autore

Author's homepage: http://www.math.rutgers.edu/~vasconce/

Vasconcelos is a well-known top expert in commutative algebra. Author of Algorithms and Computation in Mathematics 2. ISBN: 3-540-21311-2.

Via the existence of the ACM series he was won as a Springer author in 1995, being a CUP author before.

This new book is a result of the good collaboration with him on ACM 2.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 3642064922
• ISBN 13: 9783642064920
• Rilegatura: Copertina flessibile
• Numero di pagine: 536
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Germania