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arXiv · alg-geom/9503001

Quasi-parabolic Siegel Formula

Nitin Nitsure
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Abstract

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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Nitin Nitsure. 1996-12-06. Quasi-parabolic Siegel Formula. https://arxiv.org/abs/alg-geom/9503001

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