Projective modules and complete intersections
By: Satya Mandal.
Series: Lecture notes in mathematics,; 1672; Lecture notes in mathematics (Springer-Verlag) ;; 1672.
Publisher: Springer
Published: 1997
Place of publication: Berlin; New York
Language: eng
Number of pages: 113
Subjects: Projective modules (Algebra); Intersection theory
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.
Notes: Includes bibliographical references (p. [111]-113) and index.