Home » Integral Closure: Rees Algebras, Multiplicities, Algorithms by Wolmer Vasconcelos
Integral Closure: Rees Algebras, Multiplicities, Algorithms Wolmer Vasconcelos

Integral Closure: Rees Algebras, Multiplicities, Algorithms

Wolmer Vasconcelos

Published July 29th 2009
ISBN : 9781280304798
ebook
519 pages
Enter the sum

 About the 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 theseMoreIntegral 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.