Hoshi, Yuichiro On the supersingular divisors of nilpotent admissible indigenous bundles. (English) Zbl 1440.14166 Kodai Math. J. 42, No. 1, 1-47 (2019). 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. Cited in 1 Document 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) Keywords:\(p\)-adic Teichmüller theory; nilpotent admissible indigenous bundle; nilpotent ordinary indigenous bundle; supersingular divisor; hyperbolically ordinary PDFBibTeX XMLCite \textit{Y. Hoshi}, Kodai Math. J. 42, No. 1, 1--47 (2019; Zbl 1440.14166) Full Text: DOI Euclid Link