Determinantal Rings
by Winfried Bruns, Udo Vetter
Publisher: Springer 1988
ISBN/ASIN: 3540194681
ISBN-13: 9783540194682
Number of pages: 244
Description:
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 coherent treatment of the structure of determinantal rings. The main approach is via the theory of algebras with straightening law.
Download or read it online for free here:
Download link
(1.2MB, PDF)
Similar books
Algorithms in Real Algebraic Geometryby S. Basu, R. Pollack, M. Roy - Springer
The monograph gives a detailed exposition of the algorithmic real algebraic geometry. It is well written and will be useful both for beginners and for advanced readers, who work in real algebraic geometry or apply its methods in other fields.
(14545 views)
Abel's Theorem and the Allied Theoryby H.F. Baker - Cambridge University Press
This classic book covers the whole of algebraic geometry and associated theories. Baker discusses the subject in terms of transcendental functions, and theta functions in particular. Many of the ideas put forward are of continuing relevance today.
(4515 views)
Abelian Varietiesby J. S. Milne
Introduction to both the geometry and the arithmetic of abelian varieties. It includes a discussion of the theorems of Honda and Tate concerning abelian varieties over finite fields and the paper of Faltings in which he proves Mordell's Conjecture.
(9682 views)
Ample Subvarieties of Algebraic Varietiesby Robin Hartshorne - Springer
These notes are an enlarged version of a three-month course of lectures. Their style is informal. I hope they will serve as an introduction to some current research topics, for students who have had a one year course in modern algebraic geometry.
(4401 views)