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On the existence of stable compact leaves for transversely holomorphic foliations
Holomorphic foliation holonomy stable leaf
2012/4/17
A transversely holomorphic foliation on a compact complex manifold, exhibits a compact stable leaf if and only if the set of compact leaves is not a zero measure subset of the manifold.
Abstract: Let R be an o-minimal expansion of the real field. We introduce a class of Hausdorff limits, the T-infinity limits over R, that do not in general fall under the scope of Marker and Steinhorn...
Leaves and trajectories for schemes. Application to the comparison of three classical sheaves over the differential spectrum
Leaves trajectories schemes classical sheaves the differential spectrum
2010/11/15
We define leaves and trajectories for schemes endowed with a vector field. With the help of these tools, we are able to give a geometrical interpretation and to generalize several results and constru...
We prove the Poisson geometric version of the Local Reeb Stability (from foliation theory) and of the Slice Theorem (from equivariant geometry),which is also a generalization of Conn’s linearization t...
Ranking and unranking trees with a given number or a given set of leaves
Ranking unranking trees given number a given set of leaves
2010/12/3
In this paper, we provide algorithms to rank and unrank certain degree-restricted classes
of Cayley trees. Speci cally, we consider classes of trees that have a given set of leaves or that have a xe...
A leaf of a plane tree is called an old leaf if it is the leftmost child of its parent, and it is called a young leaf otherwise. In this paper we enumerate plane trees with a given number of old leave...