Resolution of 1-foliations singularities on surfaces and threefolds

2024/05/09 by Posva, Quentin · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2405.05735

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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