Integral Closure

Rees Algebras, Multiplicities, Algorithms

  • Wolmer Vasconcelos

Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Pages 1-16
  3. Pages 271-306
  4. Pages 481-495
  5. Back Matter
    Pages 497-519

About this book


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.


Algebraic structure Rees algebras algebra algebraic geometry commutative algebra computational algebra number theory

Authors and affiliations

  • Wolmer Vasconcelos
    • 1
  1. 1.Department of MathematicsRutgers UniversityPiscatawayUSA

Bibliographic information