Serre s problem on projective modules
Serre s Conjecture , for the most part of the second half of the 20th century, - ferred to the famous statement made by J. -P. Serre in 1955, to the effect that one did not know if ?nitely generated projective modules were free over a polynomial ring k[x ,. . . ,x], where k is a ?eld. This statement...
Gardado en:
| Autor Principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edición: | 1st ed. 2006. |
| Series: | Springer Monographs in Mathematics
|
| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 22 avril 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Variante du titre: | Serre's conjecture |
| Edition sous un autre format: | • Serre's problem on projective modules, T. Y. Lam, 2006, Berlin, Springer, 1 vol. (XXI-401 p.), Springer monographs in mathematics, 3-540-23317-2 • Serre's Problem on Projective Modules, Texte imprimé, 9783540860563 • Serre's Problem on Projective Modules, Texte imprimé, 9783642062353 • Serre's problem on projective modules, T. Y. Lam, 2006, Berlin, Springer, 1 vol. (XXI-401 p.), Springer monographs in mathematics, 3-540-23317-2 |
| LEADER | 04298nam a22004337a 4500 | ||
|---|---|---|---|
| 001 | 942438 | ||
| 008 | 110106q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN149037813 | ||
| 020 | |a 9783540345756 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512.44 | ||
| 084 | |a 13-xx. 2000 | ||
| 084 | |a 16-xx. 2000 | ||
| 100 | 1 | |a Lam, Tsit-Yuen, |d 1942- | |
| 240 | 1 | 0 | |a Serre's conjecture |
| 245 | 1 | 0 | |a Serre s problem on projective modules |c T.Y. Lam. |
| 250 | |a 1st ed. 2006. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Springer Monographs in Mathematics |x 2196-9922 | |
| 500 | |a Description d'après consultation du 22 avril 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. [363]-393. Index | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Serre s Conjecture , for the most part of the second half of the 20th century, - ferred to the famous statement made by J. -P. Serre in 1955, to the effect that one did not know if ?nitely generated projective modules were free over a polynomial ring k[x ,. . . ,x], where k is a ?eld. This statement was motivated by the fact that 1 n the af?ne scheme de?ned by k[x ,. . . ,x] is the algebro-geometric analogue of 1 n the af?ne n-space over k. In topology, the n-space is contractible, so there are only trivial bundles over it. Would the analogue of the latter also hold for the n-space in algebraic geometry? Since algebraic vector bundles over Speck[x ,. . . ,x] corre- 1 n spond to ?nitely generated projective modules over k[x ,. . . ,x], the question was 1 n tantamount to whether such projective modules were free, for any base ?eld k. ItwasquiteclearthatSerreintendedhisstatementasanopenproblemintheshe- theoretic framework of algebraic geometry, which was just beginning to emerge in the mid-1950s. Nowhere in his published writings had Serre speculated, one way or another, upon the possible outcome of his problem. However, almost from the start, a surmised positive answer to Serre s problem became known to the world as Serre s Conjecture . Somewhat later, interest in this Conjecture was further heightened by the advent of two new (and closely related) subjects in mathematics: homological algebra, and algebraic K-theory | ||
| 650 | |a Modules projectifs (algèbre) | ||
| 776 | 0 | |0 102697787 |t Serre's problem on projective modules |f T. Y. Lam |d 2006 |c Berlin |n Springer |p 1 vol. (XXI-401 p.) |s Springer monographs in mathematics |z 3-540-23317-2 | |
| 776 | 0 | |t Serre's Problem on Projective Modules |b Texte imprimé |z 9783540860563 | |
| 776 | 0 | |t Serre's Problem on Projective Modules |b Texte imprimé |z 9783642062353 | |
| 776 | 0 | |0 102697787 |t Serre's problem on projective modules |f T. Y. Lam |d 2006 |c Berlin |n Springer |p 1 vol. (XXI-401 p.) |s Springer monographs in mathematics |z 3-540-23317-2 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-540-34575-6 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-BDVJNBSF-X |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747894388 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-540-34575-6 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:75090741X |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-540-34575-6 |z Accès INSA CVL | |
| 997 | |0 942438 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||