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Schemes over \( \mathbb{F}_1 \)

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Book cover Number Fields and Function Fields—Two Parallel Worlds

Part of the book series: Progress in Mathematics ((PM,volume 239))

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References

  1. K. Kato, Toric singularities, Amer. J. Math., 116-5 (1994), 1073–1099.

    Article  MATH  MathSciNet  Google Scholar 

  2. B. Kurokawa, H. Ochiai, and A. Wakayama, Absolute derivations and zeta functions, Documenta Math., Extra Vol. (Kazuya Kato’s Fiftieth Birthday) (2003), 565–584.

    Google Scholar 

  3. Y. Manin, Lectures on zeta functions and motives (according to Deninger and Kurokawa), in Columbia University Number Theory Seminar (New York, 1992), Astérisque 228-4, Société Mathématique de France, Paris, 1995, 121–163.

    Google Scholar 

  4. C. Soulé, Les variétés sur le corps à un élément, Moscow Math. J., 4-1 (2004).

    Google Scholar 

  5. J. Tits, Sur les analogues algébriques des groupes semi-simples complexes, in Colloque d’algèbre supérieure, Bruxelles du 19 au 22 décembre 1956, Centre Belge de Recherches Mathématiques Établissements Ceuterick, Louvain, Belgium and Gauthier-Villars, Paris, 1957, 261–289.

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Author information

Authors and Affiliations

  1. Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076, Tübingen, Germany

    Anton Deitmar

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  1. Anton Deitmar
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Editors and Affiliations

  1. Korteweg-de Vries Instituut, Universiteit van Amsterdam, 1018 TV, Amsterdam, The Netherlands

    Gerard van der Geer  & Ben Moonen  & 

  2. Dipartimento di Matematica, Università di Roma “Tor Vergata”, I-00133, Roma, Italy

    René Schoof

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© 2005 Birkhäuser Boston

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Deitmar, A. (2005). Schemes over \( \mathbb{F}_1 \) . In: van der Geer, G., Moonen, B., Schoof, R. (eds) Number Fields and Function Fields—Two Parallel Worlds. Progress in Mathematics, vol 239. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4447-4_6

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