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Arithmetic K-theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 418)

Keywords

  • Algebraic Group
  • Local Ring
  • Algebraic Variety
  • Natural Transformation
  • Homotopy Type

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References

Topological

  1. D. W. Anderson, "Chain functors and homology theories," Symposium on Algebraic Topologv, Battelle, 1971., pp. 1–12, Lecture Notes in Mathematics Vol. 249, Springer-Verlag, New York.

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  2. A. K. Bousfield and D. M. Kan, Homotopy limits, completions and localizations, Lecture Notes in Mathematics, Vol. 304, Springer-Verlag, New York, 1972.

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  3. D. G. Quillen, "Some remarks on étale homotopy theory and a conjecture of Adams," Topology 7 (1968), 111–116.

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  4. _____, "On the cohomology and K-theory of the general linear groups over a finite field," Annals of Math., 96(1972), 552–586.

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  5. G. Segal, "Homotopy everything H-spaces," to appear.

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  6. J. Tørnehave, "Delooping the Quillen map," Thesis, M.I.T., 1971.

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Geometric

  1. M. Artin, Grothendieck Topologies, Harvard lecture notes, 1962.

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  2. _____, A. Grothendieck, and J. L. Verdier, Seminaire de Géométrie Algébrique du Bois Marie 1963/64, SGA4, Lecture Notes in Mathematics nos. 269, 270, 305, Springer-Verlag, New York. 1971.

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  3. A. Grothendieck, "Classes de Chern et représentations linéaires des groups discrets," Dix Exposés sur la Cohomologie des Schémas, pp. 215–305, North Holland, Amsterdam, 1968.

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  4. L. Illusie, "Travaux de Quillen sur la cohomologie des groupes," Semenaire Bourbaki, 405, Lecture notes in mathematics Vol. 317, Springer-Verlag, New York.

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  5. I. G. MacDonald, Algebraic Geometry, Benjamin 1968.

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  6. D. Mumford, Introduction to Algebraic geometry (preliminary version), Harvard lecture notes.

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© 1974 Springer-Verlag

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Hoobler, R., Rector, D.L. (1974). Arithmetic K-theory. In: Hilton, P.J. (eds) Localization in Group Theory and Homotopy Theory. Lecture Notes in Mathematics, vol 418. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0070644

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  • DOI: https://doi.org/10.1007/BFb0070644

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06963-8

  • Online ISBN: 978-3-540-37268-4

  • eBook Packages: Springer Book Archive