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Projective Modules and Complete Intersections

Projective Modules and Complete Intersections

Paperback

Series: Lecture Notes in Mathematics, Book 1672

Algebra

ISBN10: 3540635645
ISBN13: 9783540635642
Publisher: Springer Nature
Published: Oct 10 1997
Pages: 124
Weight: 0.43
Height: 0.28 Width: 6.14 Depth: 9.21
Language: English
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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Algebra