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A criterion for ample vector bundles over a curve in positive characteristic. (English) Zbl 1067.14027
Summary: 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 H. Lange [Math. Ann. 238, 193–202 (1978; Zbl 0377.14005)] for a rank two vector bundle over \(X\) to be ample.

MSC:
14H60 Vector bundles on curves and their moduli
14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
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