Indigenous bundles with nilpotent $p$-curvature

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We study indigenous bundles in characteristic p>0 with nilpotent p-curvature, and show that they correspond to so-called deformation data. Using this equivalence, we translate the existence problem for deformation data into the existence of polynomial solutions of certain differential equations with additional properties. As in application, we show that P^1 minus four points is hyperbolically ordinary (in the sense of Mochizuki. We also give a concrete application to existence of deformation data with fixed local invariants.
revised version, 29 pages

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Algebraic Geometry, Number Theory, 14H25, 14H60

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http://salesiana.dossiersoluciones.com/handle/123456789/75185

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0505275
 http://arxiv.org/abs/math/0505275

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arXiv