Projective Modules and Complete Intersections

By: Satya Mandal

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Paperback | 10 October 1997

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132 Pages

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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.

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You Can Find This Book In

Non-Fiction Mathematics Algebra Geometry Algebraic Geometry Analytic Geometry

Preliminaries
Patching Modules and Other Preliminaries
Extended Modules over Polynomial Rings
Modules over Commutative Rings
The Theory of Matrices
Complete Intersections
The Techniques of Lindel
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Projective Modules and Complete Intersections

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