Projective modules and complete intersections
Author(s)
Bibliographic Information
Projective modules and complete intersections
（Lecture notes in mathematics, 1672）
Springer, c1997
Available at / 97 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1672RM971020
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Note
Includes bibliographical references (p. [111]-113) and index
Description and Table of Contents
Description
In these notes on "Projective Modules and Complete Intersections" an account on the recent developments in research on this subject is presented. The author's preference for the technique of Patching isotopic isomorphisms due to Quillen, formalized by Plumsted, over the techniques of elementary matrices is evident here. The treatment of Basic Element theory here incorporates Plumstead's idea of the "generalized dimension functions". These notes are highly selfcontained and should be accessible to any graduate student in commutative algebra or algebraic geometry. They include fully self-contained presentations of the theorems of Ferrand-Szpiro, Cowsik-Nori and the techniques of Lindel.
Table of Contents
Preliminaires.- Patching modules and other preliminaries.- Extended modules over polynomial rings.- Modules over commutative rings.- The theory of matrices.- Complete intersections.- The techniques of lindel.
by "Nielsen BookData"
