Integral closure: Rees algebras, multiplicities, algorithms

Wolmer Vasconcelos9783540255406, 3-540-25540-0

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.

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Table of contents :
file_01……Page 1
file_02……Page 11
file_03……Page 27
file_04……Page 106
file_05……Page 213
file_06……Page 245
file_07……Page 279
file_08……Page 315
file_09……Page 379
file_10……Page 421
file_11……Page 488
file_12……Page 503