Vector bundles on a nearly degenerate Riemann surface |
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Authors: | Takashi Ichikawa |
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Institution: | 1. Department of Mathematics, Faculty of Science and Engineering, Saga University, Saga, 840-8502, Japan
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Abstract: | We show that on a Riemann surface X close to a maximally degenerate complex curve, any semistable vector bundle of degree 0 is associated with a linear representation of the Schottky group ?? X uniformizing X. Further, we study the relationship between the representation space of ?? X and the moduli space of semistable bundles on X as a higher rank version of Abel?CJacobi??s theorem. |
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