Abstract
This chapter will be devoted mainly to the study of Quillen’s proof of Serre’s Conjecture and its various applications. The principal tool of Quillen’s methods is his celebrated Patching Theorem (1.6), which is a local-global characterization of extended modules over polynomial rings. The main objective in §1 will be to establish this important result.
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References
See [Zariski-Samuel: 1960, p. 307].
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© 2006 Springer-Verlag Berlin Heidelberg
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Lam, T.Y. (2006). Quillen’s Methods. In: Serre’s Problem on Projective Modules. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34575-6_6
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DOI: https://doi.org/10.1007/978-3-540-34575-6_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23317-6
Online ISBN: 978-3-540-34575-6
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