Numerically effective line bundles associated to a stable bundle over a curve |
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Authors: | I Biswas AJ Parameswaran S Subramanian |
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Institution: | School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India |
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Abstract: | Let G be a complex semisimple group and χ a character of a parabolic subgroup P⊂G such that the associated line bundle on G/P is ample. For a general stable G-bundle EG over a compact Riemann surface of genus at least two, the line bundle over EG/P defined by χ has the property that the restriction of to any closed subvariety of EG/P of smaller dimension is ample, although is not ample. |
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Keywords: | 14F05 14D20 |
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