Integral closure
Subtitle: Rees algebras, multiplicities, algorithms
By: Wolmer Vasconcelos.
Series: Springer monographs in mathematics
Publisher: Springer
Published: 2005
Place of publication: Berlin
Language: eng
Number of pages: 519
ISBN-13: 9783540255406
Subjects: Integral closure; Commutative rings; Geometry, Algebraic
Description: 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.
Notes: Includes bibliographical references (p. [497]-512) and index.