Lam, T. Y.
Serre’s Conjecture [electronic resource] / by T. Y. Lam. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1978. - XVIII, 230 p. online resource. - Lecture Notes in Mathematics, 635 0075-8434 ; . - Lecture Notes in Mathematics, 635 .
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.
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.".
9783540359265
10.1007/BFb0068340 doi
Mathematics.
Mathematics.
Mathematics, general.
QA1-939
510
Serre’s Conjecture [electronic resource] / by T. Y. Lam. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1978. - XVIII, 230 p. online resource. - Lecture Notes in Mathematics, 635 0075-8434 ; . - Lecture Notes in Mathematics, 635 .
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.
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.".
9783540359265
10.1007/BFb0068340 doi
Mathematics.
Mathematics.
Mathematics, general.
QA1-939
510