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Kodaira dimension of holomorphic singular foliations

Luís Gustavo Mendes

subject

Pure mathematicsMathematics::Dynamical SystemsMathematics::Algebraic GeometryMathematics::Complex VariablesGeneral MathematicsMathematical analysisHolomorphic functionKodaira dimensionMathematics::Differential GeometryInvariant (mathematics)Mathematics::Symplectic GeometryMathematics

description

We introduce numerical invariants of holomorphic singular foliations under bimeromorphic transformations of surfaces. The basic invariant is a foliated version of the Kodaira dimension of compact complex manifolds.

https://doi.org/10.1007/bf01244239