Integral Closure: Rees Algebras, Multiplicities, Algorithms (Springer Monographs in Mathematics) - Hardcover

Vasconcelos, Wolmer

Hardcover

ISBN 10: 3540255400 ISBN 13: 9783540255406

Publisher: Springer, 2005

Synopsis

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.

About this title

About the Author

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.

Edition details

• Publisher: Springer
• Publication date: 2005
• Language: English
• ISBN 10: 3540255400
• ISBN 13: 9783540255406
• Binding: Hardcover
• Number of pages: 532