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In mathematics, an indigenous bundle on a Riemann surface is a fiber bundle with a flat connection associated to some complex projective structure. Indigenous bundles were introduced by Gunning (1967). Indigenous bundles for curves over p-adic fields were introduced by Mochizuki (1996) in his study of p-adic Teichmüller theory.

References

Gunning, Robert C. (1967), "Special coordinate coverings of Riemann surfaces", Mathematische Annalen 170: 67–86, doi:10.1007/BF01362287, ISSN 0025-5831, MR 0207978
Mochizuki, Shinichi (1996), "A theory of ordinary p-adic curves", Kyoto University. Research Institute for Mathematical Sciences. Publications 32 (6): 957–1152, doi:10.2977/prims/1195145686, ISSN 0034-5318, MR 1437328

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