Integral Closure [electronic resource] : Rees Algebras, Multiplicities, Algorithms / by Wolmer Vasconcelos.
By: Vasconcelos, Wolmer [author.].
Contributor(s): SpringerLink (Online service).
Material type: TextSeries: Springer Monographs in Mathematics: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005Description: XII, 520 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540265030.Subject(s): Algebra  Geometry, algebraic  Number theory  Commutative Rings and Algebras  Algebraic Geometry  Number TheoryAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 512.44 Online resources: Click here to access onlineItem type  Current location  Call number  Status  Date due  Barcode  Item holds  

EBOOKS 
ISI Library, Kolkata

Available  EB945 
Numerical Invariants of a Rees Algebra  Hilbert Functions and Multiplicities  Depth and Cohomology of Rees Algebras  Divisors of a Rees Algebra  Koszul Homology  Integral Closure of Algebras  Integral Closure and Normalization of Ideals  Integral Closure of Modules  HowTo.
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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