6533b856fe1ef96bd12b2ebc

RESEARCH PRODUCT

Numerical Kodaira Dimension

Marco Brunella

subject

Pure mathematicsMathematics::Algebraic GeometryFoliation (geology)Decomposition (computer science)Cotangent bundleKodaira dimensionPoint (geometry)Mathematics::Symplectic GeometryMathematics

description

In this chapter we study, following [30] , the first properties of the Zariski decomposition of the cotangent bundle of a nonrational foliation. In particular, we shall give a detailed description of the negative part of that Zariski decomposition, and we shall obtain a detailed classification of foliations whose Zariski decomposition is reduced to its negative part (i.e. foliations of numerical Kodaira dimension 0). We shall also discuss the “singular” point of view adopted in [30].

yearjournalcountryeditionlanguage
2014-12-30
https://doi.org/10.1007/978-3-319-14310-1_8