13 citations · 24 across the 6 of their papers we have counts for
7 papers
Algebraic foliations defined by quasi-lines
Laurent Bonavero, Andreas Höring
Let X be a projective manifold containing a quasi-line l. An important difference between quasi-lines and lines in the projective space is that in general there is more than one qu…
Counting conics in complete intersections
Laurent Bonavero, Andreas Höring
We count the number of conics through two general points in complete intersections when this number is finite and give an application in terms of quasi-lines.
Quasi-lines and their degenerations
Laurent Bonavero, Andreas Höring
In this paper we study the structure of manifolds that contain a quasi-line and give some evidence towards the fact that the irreducible components of degenerations of the quasi-li…
On covering and quasi-unsplit families of rational curves
L. Bonavero, C. Casagrande, S. Druel
We study extremality properties of covering families of rational curves on projective varieties. Among others, we show that on a normal and Q-factorial projective variety of dimens…
Pseudo-index of Fano manifolds and smooth blow-ups
Laurent Bonavero
Suppose is a smooth blow-up along a submanifold of between complex Fano manifolds and of pseudo-indices and respectively (recall that …
Toric varieties whose blow-up at a point is Fano
Laurent Bonavero
We classify smooth toric Fano varieties of dimension containing a toric divisor isomorphic to $\PP^{n-1}$. As a consequence of this classification, we show that any smoot…