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Division Algebras and Unit Groups on Surfaces

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Affine Flag Manifolds and Principal Bundles

Part of the book series: Trends in Mathematics ((TM))

Abstract

Various types of finiteness questions over algebraic curves and algebraic surfaces over finite fields are considered and studied in the context of the theory of vector bundles over curves resp. surfaces. Two different kinds of modifications of bundles and concepts of connectivity between such bundles are introduced. There are various computations of Chern classes of the bundles involved.

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References

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Author information

Authors and Affiliations

  1. Mathematisches Institut, Bunsenstraße 3–5, D-37073, Göttingen, Germany

    Fabian Reede & Ulrich Stuhler

Authors
  1. Fabian Reede
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  2. Ulrich Stuhler
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Editor information

Editors and Affiliations

  1. Institut für Mathematik, Freie Universität Berlin, Arnimallee 3, 14195, Berlin, Germany

    Alexander Schmitt

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Reede, F., Stuhler, U. (2010). Division Algebras and Unit Groups on Surfaces. In: Schmitt, A. (eds) Affine Flag Manifolds and Principal Bundles. Trends in Mathematics. Springer, Basel. https://doi.org/10.1007/978-3-0346-0288-4_7

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