Singular foliations with trivial canonical class

By Frank Loray, J. Pereira, Fr'ed'eric Touzet. 2011

81 citations recorded by the source corpus.

This paper describes the structure of singular codimension one foliations with numerically trivial canonical bundle on complex projective manifolds.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/aa055ee10673a515460a51dc86dcf70d77438d4f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. S. Druel
2. Frank Loray
3. J. Pereira
4. Fr'ed'eric Touzet

In Astronomy and Astrophysics

1. S. Druel
2. Frank Loray
3. J. Pereira
4. Fr'ed'eric Touzet

In Geometry and Topology

1. Frank Loray
2. J. Pereira
3. Fr'ed'eric Touzet
4. S. Druel

Citations in the corpus

• Foliations with trivial canonical bundle on Fano 3‐folds (2011, methodology): “4 following the same strategy as above, one would be lead to a lengthy case-by-case analysis which we have chosen to not carry out in detail here, but which can be found in version 2 of [24] at the arXiv.”
• A decomposition theorem for singular spaces with trivial canonical class of dimension at most five (2016, background): “…equivalence, a dominant rational map with connected fibers ϕ : X Y , and a holomorphic foliation H on Y such that the following holds (see [LPT11, Section 2.4]): (1) H is purely transcendental, i.e., there is no positive-dimensional algebraic subvariety through a general point of Y that…”