Integral closure : Rees algebras, multiplicities, algorithms

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 analy...

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Opis bibliograficzny
1. autor: Vasconcelos, Wolmer V., 1937-2021
Format: Livre numérique
Język:Anglais
Wydane: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Wydanie:1st ed. 2005.
Seria:Springer Monographs in Mathematics
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Edition sous un autre format:• Integral closure, Rees algebras, multiplicities, algorithms, Wolmer Vasconcelos, 2005, Berlin, Springer-Verlag, 1 vol. (XII-519 p.), Springer monographs in mathematics, 3-540-25540-0
Opis
Streszczenie: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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Bibliografia:Bibliogr. p. [497]-512. Index
ISBN:9783540265030 (e-book)
3540265031 (e-book)
ISSN:2196-9922
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