Serre's Problem on Projective Modules - Brossura

Libro 71 di 184: Springer Monographs in Mathematics

Lam, T.Y. Y.

 
9783642062353: Serre's Problem on Projective Modules
Brossura
ISBN 10: 3642062350 ISBN 13: 9783642062353
Casa editrice: Springer, 2010

Sinossi

An invaluable summary of research work done in the period from 1978 to the present

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Recensione

From the reviews:

"It is a full-fledged advanced course on themes in higher algebra suited for a specialized graduate seminar, a research seminar, and of course, self-study by an aspiring researcher. ... Serre’s Problem on Projective Modules, is very clear and well written ... and quickly gets the reader properly air-borne. ... the pay-off is huge: this is fantastic stuff. ... is a superb book. It’s highly recommended." (Michael Berg, MathDL, March, 2007)

"The book starts with the basics of projective modules and the K0 and K1 groups, and then gives the classical, partial results about Serre’s conjecture. ... This well-written book is the definitive treatment of ‘Serre’s conjecture’ – its history, solution, and generalizations – and will be of interest to both beginning graduate students and advanced researchers in this field." (David F. Anderson, Zentralblatt MATH, Vol. 1101 (3), 2007)

"Lam has done a magnificent job of organizing the mated al and presenting complete proofs of all the results directly connected with Sen-e's problem. ... The references are complete and make the book a very valuable reference even for experts in the field.... It will be very useful to students wishing to learn about projective modules ... . This is definitely a book that anyone ... interested in projective modules should have on his or her shelf!" (Richard G. Swan, Bulletin of the American Mathematical Society, Vol. 45 (3), July, 2008)

Contenuti

to Serre’s Conjecture: 1955–1976.- Foundations.- The “Classical” Results on Serre’s Conjecture.- The Basic Calculus of Unimodular Rows.- Horrocks’ Theorem.- Quillen’s Methods.- K1-Analogue of Serre’s Conjecture.- The Quadratic Analogue of Serre’s Conjecture.- References for Chapters I–VII.- Appendix: Complete Intersections and Serre’s Conjecture.- New Developments (since 1977).- References for Chapter VIII.

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Editore
Springer
Data di pubblicazione
2010
Lingua
Inglese
ISBN 10 
3642062350
ISBN 13 
9783642062353
Rilegatura
Copertina flessibile
Numero di pagine
428
Contatto del produttore
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Germania

Altre edizioni note dello stesso titolo

9783540233176: Serre's Problem On Projective Modules

Edizione in evidenza

ISBN 10:  3540233172 ISBN 13:  9783540233176
Casa editrice: Springer Nature, 2006
Rilegato