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

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This book gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. 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.

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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.