Quasi-parabolic Siegel formula |
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Authors: | Nitin Nitsure |
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Institution: | (1) School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005 Mumbai, India |
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Abstract: | The result of Siegel that the Tamagawa number ofSL
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 conjuctures
An erratum to this article is available at . |
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Keywords: | Siegel formula quasi-parabolic divisors Betti numbers Weil conjucture |
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