The content is the minimal model theorem for foliations by curves. It continues the roll-out of the various ingredients in the Green-Griffiths conjecture for algebraic surfaces McQuillan. The result is, however, presented as a self-contained theorem in complex algebraic geometry without foliation dynamics and independent of its motivation. Working familiarity with algebraic champs (the mis-translation stack will be eschewed) is essential. Indices of notation and definitions are provided.
Mcquillan, M.l. (2024). Semi-stable reduction of foliations. In Yuri Tschinkel (a cura di), Arithmetic and Algebraic Geometry (pp. 239-351). Springer [10.1007/978-3-031-74134-0_6].
Semi-stable reduction of foliations
McQuillan Michael
2024-09-26
Abstract
The content is the minimal model theorem for foliations by curves. It continues the roll-out of the various ingredients in the Green-Griffiths conjecture for algebraic surfaces McQuillan. The result is, however, presented as a self-contained theorem in complex algebraic geometry without foliation dynamics and independent of its motivation. Working familiarity with algebraic champs (the mis-translation stack will be eschewed) is essential. Indices of notation and definitions are provided.| File | Dimensione | Formato | |
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