We recall the work of Brunella, McQuillan and Mendes on the classification of foliations on projective surfaces. We then survey some recent work extending this classification to foliations on higher dimensional projective varieties.
Nous rappelons les travaux de Brunella, McQuillan et Mendes sur la classification des feuilletages sur les surfaces projectives. Nous présentons ensuite un aperçu de travaux récents qui étendent cette classification aux feuilletages sur les variétés projectives de dimension $\ge 3$.
Calum Spicer  1
CC-BY-ND 4.0
Calum Spicer. Recent progress on the Minimal Model Program for foliations. Publications mathématiques de Besançon. Algèbre et théorie des nombres (2026), pp. 109-128. doi: 10.5802/pmb.73
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author = {Calum Spicer},
title = {Recent progress on the {Minimal} {Model} {Program} for foliations},
journal = {Publications math\'ematiques de Besan\c{c}on. Alg\`ebre et th\'eorie des nombres},
pages = {109--128},
year = {2026},
publisher = {Presses universitaires de Franche-Comt\'e},
doi = {10.5802/pmb.73},
language = {en},
url = {https://pmb.centre-mersenne.org/articles/10.5802/pmb.73/}
}
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