6533b7d9fe1ef96bd126c05f
RESEARCH PRODUCT
The Rationality Criterion
Marco Brunellasubject
Pure mathematicsMathematics::Dynamical SystemsMathematics::Algebraic GeometryMorphismAlgebraic surfaceFoliation (geology)Principle of rationalityCotangent bundleRationalityMathematics::Differential GeometryMathematics::Symplectic GeometryEcological rationalityMathematicsdescription
In this chapter we explain a remarkable theorem of Miyaoka [32] which asserts that a foliation whose cotangent bundle is not pseudoeffective is a foliation by rational curves. The original Miyaoka’s proof can be thought as a foliated version of Mori’s technique of construction of rational curves by deformations of morphisms in positive characteristic [33].
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-12-30 |