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Toward classification of codimension 1 foliations on threefolds of general type
Mathematische Nachrichten. 2023. Vol. 296. No. 11. P. 5012–5029.
The aim of this paper is to classify codimension 1 foliations ℱ with canonical
singularities and 𝜈(𝐾 ℱ ) < 3 on threefolds of general type. I prove a classification
result for foliations satisfying these conditions and having nontrivial algebraic
part. We also describe purely transcendental foliations ℱ with the canonical class
𝐾 ℱ being not big on manifolds of general type in any dimension, assuming that
ℱ is nonsingular in codimension 2.
Keywords: Birational geometryбирациональная геометрияholomorphic foliationsKodaira dimensionразмерность Кодаирыголоморфные слоения
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