13 citations · 13 across the 2 of their papers we have counts for
4 papers
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…
Some boundedness results for Fano-like Moishezon manifolds
L. Bonavero, S. Takayama
We prove finiteness of the number of smooth blow-downs on Fano manifolds and boundedness results for the geometry of non projective Fano-like manifolds. Our proofs use properness o…