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Les K-Groupes d’un Fibré Projectif

Chapter
Part of the NATO ASI Series book series (ASIC, volume 407)

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.

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Références

  1. [Q]
    D. Quillen, “Higher algebraic K-theory I”, dans Higher K-Theories,Lecture Notes in Math. 341, Springer Verlag, 1973. pp. 85-147.Google Scholar
  2. [TT]
    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.Google Scholar
  3. [W]
    F. Waldhausen, Algebraic K-theory of spaces, dans Algebraic and Geometric Topology, Lecture Notes in Math. 1126, Springer Verlag 1985, pp. 318 - 419.Google Scholar
  4. [EGA]
    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.Google Scholar
  5. [SGA6]
    P. Berthelot, A. Grothendieck, L. Illusie, Théorie des Intersections et Théorème de Riemann-Roch,Lecture Notes in Math. 225, Springer Verlag 1971.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1993

Authors and Affiliations

  1. 1.CNRS URA212, UFR de MathématiquesUniversité de Paris 7Paris Cedex 05France

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