1.

Record Nr.

UNISA996466531603316

Autore

Lam T. Y (Tsit-Yuen), <1942->

Titolo

Serre's conjecture / / T. Y. Lam

Pubbl/distr/stampa

Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1978]

©1978

ISBN

3-540-35926-5

Edizione

[1st ed. 1978.]

Descrizione fisica

1 online resource (XVIII, 230 p.)

Collana

Lecture notes in mathematics ; ; 635

Disciplina

512.4

Soggetti

Commutative rings

Projective modules (Algebra)

Algebraic fields

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

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.".