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.
Mathematics Subject Classification (2000)
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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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DOI: https://doi.org/10.1007/978-3-0346-0288-4_7
Publisher Name: Springer, Basel
Print ISBN: 978-3-0346-0287-7
Online ISBN: 978-3-0346-0288-4
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