Self-intersection of foliation cycles on complex manifolds
Journal article, 2017
Let X be a compact Kahler manifold and let T be a foliation cycle directed by a transversely Lipschitz lamination on X. We prove that the self-intersection of the cohomology class of T vanishes as long as T does not contain currents of integration along compact manifolds. As a consequence, we prove that transversely Lipschitz laminations of low codimension in certain manifolds, e.g. projective spaces, do not carry any foliation cycles except those given by integration along compact leaves.
laminations
Lucas] Chalmers
Mathematics
holomorphic foliation
SE-41296 Gothenburg
SE-41296 Gothenburg
[Kaufmann
UMR CNRS 7586
G
Sweden.
currents
transverse measure
[Kaufmann
F-75005 Paris
lamination
Sweden.
Lucas] Univ Gothenburg
Dept Math Sci
Foliation cycle
France.
Author
Lucas Kaufmann Sacchetto
University of Gothenburg
Chalmers, Mathematical Sciences, Algebra and geometry
International Journal of Mathematics
0129-167X (ISSN)
Vol. 28 8 Art no 1750054- 1750054Subject Categories
Mathematics
DOI
10.1142/s0129167x17500549