Resolution of 1-foliations singularities on surfaces and threefolds

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Abstract

We consider resolution of singularities for 1-foliations on varieties of dimension at most three in positive characteristic. We prove that such singularities can be completely resolved if we allow tame regular Deligne--Mumford stacks as underlying spaces. If one restricts to underlying varieties, we show that 1-foliations singularities can be simplified into multiplicative ones.

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Quentin Posva (Thu,) studied this question.

synapsesocial.com/papers/68e6aec4b6db643587630eb7 https://doi.org/https://doi.org/10.48550/arxiv.2405.05735

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