Determinantal Rings
Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. Their study has attracted many prominent researchers and has motivated the creation of theories which may now be considered part of general commutative ring theory. The book gives a first coher...
Main Authors: | , |
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Format: | eBook |
Language: | English |
Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1988, 1988
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Edition: | 1st ed. 1988 |
Series: | Lecture Notes in Mathematics
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Subjects: | |
Online Access: | |
Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Preliminaries
- Ideals of maximal minors
- Generically perfect ideals
- Algebras with straightening law on posets of minors
- The structure of an ASL
- Integrity and normality. The singular locus
- Generic points and invariant theory
- The divisor class group and the canonical class
- Powers of ideals of maximal minors
- Primary decomposition
- Representation theory
- Principal radical systems
- Generic modules
- The module of Kähler differentials
- Derivations and rigidity