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On the supersingular divisors of nilpotent admissible indigenous bundles. (English) Zbl 1440.14166
Summary: In the present paper, we give a characterization of the supersingular divisors [i.e., the zero loci of the Hasse invariants] of nilpotent admissible/ordinary indigenous bundles on hyperbolic curves. By applying the characterization, we also obtain lists of the nilpotent indigenous bundles on certain hyperbolic curves. Moreover, we prove the hyperbolic ordinariness of certain hyperbolic curves.

MSC:
14H60 Vector bundles on curves and their moduli
14G17 Positive characteristic ground fields in algebraic geometry
14H51 Special divisors on curves (gonality, Brill-Noether theory)
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