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Descent for theK-theory of polynomial rings

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References

  1. Almkvist, G.: The Grothendieck ring of the category of endomorphisms. J. Algebra28, 375–388 (1974)

    Google Scholar 

  2. Artin, M.: Algebraic approximation of structures over complete local rings. Publ. Math. IHES36, 23–58 (1969)

    Google Scholar 

  3. Bass, H.: AlgebraicK-theory. New York: Benjamin 1968

    Google Scholar 

  4. Bloch, S.: AlgebraicK-theory and crystalline cohomology. Publ. Math. IHES47, 187–268 (1977)

    Google Scholar 

  5. Bloch, S.: Some formulas pertaining to theK-theory of commutative group schemes. J. Algebra53, 305–326 (1978)

    Google Scholar 

  6. Godement, R.: Topologie algébrique et théorie des Faisceaux. Paris: Hermann 1973

    Google Scholar 

  7. Grayson, D.: Grothendieck groups and Witt vectors. Comm. in Algebra6, 249–255 (1978)

    Google Scholar 

  8. Grothendieck, A., Dieudonné, J.: EGA IV (3, 4). Publ. Math. IHES28 (1966),32 (1967)

  9. Illusie, L.: Complexe de De Rham-Witt et cohomologie cristalline. Ann. Sci. Éc. Norm. Sup. 12, 501–661 (1979)

    Google Scholar 

  10. Knus, M., Ojanguren, M.: Théorie de la Descente et Algèbres d'Azumaya. Lecture Notes in Math.389. Berlin Heidelberg New York: Springer 1974

    Google Scholar 

  11. Matsumura, H.: Commutative algebra. New York: Benjamin 1970

    Google Scholar 

  12. Milne, J.: Étale Cohomology. Princeton: Princeton University Press 1980

    Google Scholar 

  13. Quillen, D.: Projective modules over polynomial rings. Invent. Math.36, 167–171 (1976)

    Google Scholar 

  14. Stienstra, J.: Operations in the higherK-theory of endomorphisms. In: Current Trends in algebraic topology, CMS Conference Proceedings, vol. 2, part 1, p. 59–115

  15. Stienstra, J.: Cartier-Dieudonné theory for Chow groups. J. Reine Angew. Math.355, 1–66 (1985)

    Google Scholar 

  16. Vorst, T.: Localization of theK-theory of polynomial extensions. Math. Ann.244, 33–53 (1979)

    Google Scholar 

  17. Weibel, C.: Mayer-Vietoris sequences and module structures onNK *. Lecture Notes in Math.854, p. 466–493. Berlin Heidelberg New York: Springer 1981

    Google Scholar 

  18. Weibel, C.: Module structures on theK-theory of graded rings. Preprint

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van der Kallen, W. Descent for theK-theory of polynomial rings. Math Z 191, 405–415 (1986). https://doi.org/10.1007/BF01162716

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  • DOI: https://doi.org/10.1007/BF01162716

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