Characterization of genuine ramification using formal orbifolds
arxiv(2024)
摘要
We give a characterization of genuinely ramified maps of formal orbifolds in
the Tannakian framework. In particular we show that a morphism is genuinely
ramified if and only if the pullback of every stable bundle remains stable in
the orbifold category. We also give some other characterizations of genuine
ramification. This generalizes the results of [BKP1] and [BP1]. In fact, it is
a positive characteristic analogue of results in [BKP2].
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