A criterion for ample vector bundles over a curve in positive characteristic |
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Authors: | Indranil Biswas |
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Institution: | School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India |
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Abstract: | Let X be a smooth projective curve defined over an algebraically closed field of positive characteristic. We give a necessary and sufficient condition for a vector bundle over X to be ample. This generalizes a criterion given by Lange in Math. Ann. 238 (1978) 193-202] for a rank two vector bundle over X to be ample. |
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Keywords: | 14H60 14F05 |
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