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arXiv · 1411.1191

An explicit formula for the generic number of dormant indigenous bundles

Yasuhiro Wakabayashi
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Abstract

A dormant indigenous bundle is an integrable projective line bundle on a proper hyperbolic curve of positive characteristic satisfying certain conditions. Dormant indigenous bundles were introduced and studied in the $p$-adic Teichmuller theory developed by S. Mochizuki. Kirti Joshi proposed a conjecture concerning an explicit formula for the degree over the moduli stack of curves of the moduli stack classifying dormant indigenous bundles. In this paper, we give a proof for this conjecture of Joshi.

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Yasuhiro Wakabayashi. 2014-11-05. An explicit formula for the generic number of dormant indigenous bundles. https://arxiv.org/abs/1411.1191

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