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Integral Closure: Rees Algebras, Multiplicities, Algorithms

Integral Closure: Rees Algebras, Multiplicities, Algorithms

Paperback

Series: Springer Monographs in Mathematics

AlgebraGeneral MathematicsGeometry

ISBN10: 3642064922
ISBN13: 9783642064920
Publisher: Springer
Published: Oct 21 2010
Pages: 520
Weight: 1.64
Height: 1.08 Width: 6.14 Depth: 9.21
Language: English

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.

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Vasconcelos, Wolmer

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Algebra