The birational invariants of Lins Neto’s foliations
Copyright policy )The birational invariants of Lins Neto’s foliations
Lins Neto [Ann. Sci. École Norm. Sup. (4) 35 (2002), pp. 231–266] constructed families of foliations which are counterexamples to Poincaré’s Problem and Painlevé’s Problem. We will determine the minimal models of these families of foliations, calculate their Chern numbers, Kodaira dimension, and numerical Kodaira dimension. We prove that the slopes of Lins Neto’s foliations are at least 6, and their limits are bigger than 7 7 .
- East China Normal University China (People's Republic of)
- Nanjing Institute of Technology China (People's Republic of)
Singularities of holomorphic vector fields and foliations, Zariski decomposition, Coverings in algebraic geometry, Dynamical aspects of holomorphic foliations and vector fields, Lins Neto's foliations, singular holomorphic foliations: Chern number, slope inequality, Fibrations, degenerations in algebraic geometry
Singularities of holomorphic vector fields and foliations, Zariski decomposition, Coverings in algebraic geometry, Dynamical aspects of holomorphic foliations and vector fields, Lins Neto's foliations, singular holomorphic foliations: Chern number, slope inequality, Fibrations, degenerations in algebraic geometry
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