RESOLUTION OF SINGULARITIES OF THREEFOLDS IN POSITIVE CHARACTERISTIC II

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Resolution of singularities of threefolds in positive characteristic. I.: Reduction to local uniformization on Artin–Schreier and purely inseparable coverings (2008, unknown): “In chapter 1 of [13], we introduce our main invariant (ord x h, Ω( x )) at any point x ∈ X := Spec .”
Resolution of singularities of arithmetical threefolds (2014, unknown): “2) which is constructed involves Hironaka-permissible blowing ups only, in contrast with [30].”
Resolution of singularities for 3-folds in positive characteristic (2006, background): “Most recently, Cossart and Piltant [ CP1 ], [CP2] have proved resolution of singularities for a 3-fold over an arbitrary field.”
On the three dimensional minimal model program in positive characteristic (2013, background): “union with the support of OX/I, then we may assume that I · OY is locally principal and that fis given by a sequence of blow ups along smooth centers lying over Σ. Proof. See [Cutkosky04], [CP08] and [CP09]. 2.3. F-singularities. Test ideals and the theory of tight closure were introduced by Hochest”
Existence of Mori fibre spaces for 3-folds in char $p$ (2014, background): “p > 5, and from [9] and [10] in general.”