Projective Modules and Complete Intersections (Lecture Notes in Mathematics, 1672)

Mandal, Satya

ISBN 10: 3540635645 / ISBN 13: 9783540635642

Published by Springer, 1997

About this Item

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Bibliographic Details

• Title: Projective Modules and Complete Intersections (Lecture Notes in Mathematics, 1672)
• Publisher: Springer
• Publication Date: 1997
• Language: English
• ISBN 10: 3540635645
• ISBN 13: 9783540635642
• Binding: Soft cover
• Condition: good

About this title

Synopsis

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.