On Fano foliations
By Carolina Araujo, S. Druel. 2011
82 citations recorded by the source corpus.
In this paper we pursue the study of mildly singular del Pezzo foliations on complex projective manifolds started in [AD13].
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/97b09627bb5954eb4381151890fbed07c4deb92d
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In Geometry and Topology
Citations in the corpus
- Codimension 1 foliations with numerically trivial canonical class on singular spaces (2018, background): “nonical class to be KG = −c 1(G). In analogy with the case of projective varieties, one expects the numerical properties of KG to reflect geometric aspects of G (see [Bru04], [McQ08], [Spi17], [CS18], [AD13], [AD14], [AD16], [AD17b], [LPT18], [Tou08]). The Beauville-Bogomolovdecomposition theorem ass”
- On codimension 1 del Pezzo foliations on varieties with mild singularities (2012, methodology): “ATIONS ON VARIETIES WITH MILD SINGULARITIES CAROLINA ARAUJO AND STEPHANE´ DRUEL Abstract. In this paper we extend to the singular setting the theory of Fano foliations developed in our previous paper [AD13]. A Q-Fano foliation on a complex projective variety X is a foliation F (T X whose anti-canoni”
- Foliations with trivial canonical bundle on Fano 3‐folds (2011, methodology): “We start with the classification of degree one foliations of arbitrary codimension on P , a result of independent interest which is used in [2].”