Abstract
We give a new and quick proof of the Grothendieck-Berthelot-Quillen formula for the K-groups of a projective space bundle over a scheme.
Chapter PDF
Références
D. Quillen, “Higher algebraic K-theory I”, dans Higher K-Theories,Lecture Notes in Math. 341, Springer Verlag, 1973. pp. 85-147.
R. Thomason, T. T.obaugh, “Higher algebraic K-theory of schemes and of derived categories”, dans The Grothendieck Festschrift III, Progress in Math. 88, Birkhäuser 1990, pp. 247 - 435.
F. Waldhausen, Algebraic K-theory of spaces, dans Algebraic and Geometric Topology, Lecture Notes in Math. 1126, Springer Verlag 1985, pp. 318 - 419.
A. Grothendieck, J. Dieudonné, Eléments de Géométrie Algébrique, Publ. Math. IRES Nos. 8, 11, 17, 20, 24, 28, 32 Presse Univ. France 1961-1967, et Grundl. math. Wissenschaften 166, Springer Verlag 1971.
P. Berthelot, A. Grothendieck, L. Illusie, Théorie des Intersections et Théorème de Riemann-Roch,Lecture Notes in Math. 225, Springer Verlag 1971.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Thomason, R.W. (1993). Les K-Groupes d’un Fibré Projectif. In: Goerss, P.G., Jardine, J.F. (eds) Algebraic K-Theory and Algebraic Topology. NATO ASI Series, vol 407. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0695-7_13
Download citation
DOI: https://doi.org/10.1007/978-94-017-0695-7_13
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4302-3
Online ISBN: 978-94-017-0695-7
eBook Packages: Springer Book Archive