Nitsure, Nitin (1996) Quasi-parabolic Siegel formula Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 106 (2). pp. 133-137. ISSN 0253-4142
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Official URL: http://www.ias.ac.in/j_archive/mathsci/106/2/133-1...
Related URL: http://dx.doi.org/10.1007/BF02837166
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 conjuctures.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Indian Academy of Sciences. |
| Keywords: | Siegel Formula; Quasi-parabolic Divisors; Betti Numbers; Weil Conjucture |
| ID Code: | 24799 |
| Deposited On: | 30 Nov 2010 09:12 |
| Last Modified: | 17 May 2016 08:24 |
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