Kodai Mathematical Journal

On the supersingular divisors of nilpotent admissible indigenous bundles

Yuichiro Hoshi

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Abstract

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.

Article information

Source
Kodai Math. J., Volume 42, Number 1 (2019), 1-47.

Dates
First available in Project Euclid: 19 March 2019

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1552982501

Digital Object Identifier
doi:10.2996/kmj/1552982501

Mathematical Reviews number (MathSciNet)
MR3934611

Zentralblatt MATH identifier
07081611

Citation

Hoshi, Yuichiro. On the supersingular divisors of nilpotent admissible indigenous bundles. Kodai Math. J. 42 (2019), no. 1, 1--47. doi:10.2996/kmj/1552982501. https://projecteuclid.org/euclid.kmj/1552982501


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