Integral Closure - Rees Algebras, Multiplicities, Algorithms Vasconcelos WolmerPaperback

Integral Closure gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. 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. These are shared concerns in commutative algebra, algebraic geometry, number theory and the computational aspects of these fields.

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 gives a comprehensive treatment of Rees algebras and multiplicity theory - while pointing to applications in many other problem areas. It contains, besides exercises aimed at giving insights, numerous research problems motivated by the developments