Serre's conjecture / T.Y. Lam.

By: Lam, T. Y. (Tsit-Yuen), 1942-
Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag): 635.Publisher: Berlin ; New York : Springer-Verlag, 1978Description: 1 online resource (xv, 227 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540359265; 3540359265Subject(s): Commutative rings | Projective modules (Algebra) | Algebraic fields | Algebraic fields | Commutative rings | Projective modules (Algebra)Genre/Form: Electronic books. Additional physical formats: Print version:: Serre's conjecture.DDC classification: 512.4 LOC classification: QA3 | .L28 no. 635 | QA251.3Online resources: Click here to access online
Contents:
Preface -- Introduction -- Foundations -- The "Classical" Results on Serre's Conjecture -- Two Elementary Proofs of Serre's Conjecture -- Horrocks' Theorem -- Quillen's Method -- The Quadratic Analogue of Serre's Conjecture -- Appendix on Complete Intersections -- References -- Notations -- Index.
Summary: From the Preface: "I felt it would be useful for graduate students to see a detailed account of the sequence of mathematical developments which was inspired by the Conjecture, and which ultimately led to its full solution ... I offered a course on Serre's Conjecture to a small group of graduate students in January, 1977 [at the University of California, Berkeley] one year after its solution by Quillen and Suslin. My course was taught very much in the spirit of a mathematical 'guided tour'. Volunteering as the guide, I took upon myself the task of charting a route through all the beautiful mathematics surrounding the main problem to be treated; the 'guide' then leads his audience through the route, on to the destination, pointing out the beautiful sceneries and historical landmarks along the way."
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Includes bibliographical references (pages 216-223) and index.

Preface -- Introduction -- Foundations -- The "Classical" Results on Serre's Conjecture -- Two Elementary Proofs of Serre's Conjecture -- Horrocks' Theorem -- Quillen's Method -- The Quadratic Analogue of Serre's Conjecture -- Appendix on Complete Intersections -- References -- Notations -- Index.

From the Preface: "I felt it would be useful for graduate students to see a detailed account of the sequence of mathematical developments which was inspired by the Conjecture, and which ultimately led to its full solution ... I offered a course on Serre's Conjecture to a small group of graduate students in January, 1977 [at the University of California, Berkeley] one year after its solution by Quillen and Suslin. My course was taught very much in the spirit of a mathematical 'guided tour'. Volunteering as the guide, I took upon myself the task of charting a route through all the beautiful mathematics surrounding the main problem to be treated; the 'guide' then leads his audience through the route, on to the destination, pointing out the beautiful sceneries and historical landmarks along the way."

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