Quasi-parabolic Siegel Formula

Details Quasi-parabolic Siegel Formula Quasi-parabolic Siegel Formula

1995-03-02

arxiv.org/abs/alg-geom/9503001v2

Mathematics

Algebraic Geometry

LaTeX, 6 pages. Reason for re-submission : A factor that was missing in the first version is now included in the formula

Scientific paper

The result of Siegel that the Tamagawa number of $SL_r$ over a function field is 1 has an expression purely in terms of vector bundles on a curve, which is known as the Siegel formula. We prove an analogous formula for vector bundles with quasi-parabolic structures. This formula can be used to calculate the Betti numbers of the moduli of parabolic vector bundles using the Weil conjucture.

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