Numerically effective line bundles associated to a stable bundle over a curve

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Abstract

Let G be a complex semisimple group and χ a character of a parabolic subgroup PG 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 L over EG/P defined by χ has the property that the restriction of L to any closed subvariety of EG/P of smaller dimension is ample, although L is not ample.

MSC

14F05
14D20

Keywords

Stable bundle
Numerically effectiveness
Monodromy

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