We study Fano manifolds $X$ admitting an unsplit dominating family of rational curves and we prove that the Generalized Mukai Conjecture holds if $X$ has pseudoindex $i_X = (\dim X)/3$ or dimension $\dim X=6$. We also show that this conjecture is true for all Fano manifolds with $i_X > (\dim X)/3$
A concise survey on higher Fano varieties is given. The focus is [Min18], where results of de Jong-S...
Some properties of Fano manifolds of product type involving the coindex and the number of factors ar...
We show that a smooth projective geometrically rationally connected variety over the real numbers wi...
We prove that Generalized Mukai Conjecture holds for Fano manifolds $X$ of pseudoindex $i_X \geq (di...
Let X be a Fano variety of dimension n, pseudoindex iX and Picard number ρX. A generalization of a c...
©2016 American Mathematical Society. We associate to any complete spherical variety X a certain nonn...
In this paper we classify pairs (X; E) with E ample vector bundle of rank r on a smooth variety X o...
Abstract. We study Fano manifolds of pseudoindex greater than one and dimension greater than five, w...
It is shown here that any prime Fano threefold of genus 9 is not exotic, that is, its scheme of line...
Mukai varieties are Fano varieties of Picard number one and coindex three. In genus seven to ten the...
Abstract. The Morrison–Kawamata Cone Conjecture predicts that the action of the auto-morphism group ...
In a joint research programme with Jun-Muk Hwang we have been investigating geometric structures on ...
In a series of articles with Jun-Muk Hwang starting from the late 1990s, we introduced a geometric t...
Abstract. In this paper we investigate Fano manifolds X whose Chern char-acters chk(X) satisfy some ...
This thesis is divided in two parts. In the first part we study the 2-Fano varieties. The 2-Fano var...
A concise survey on higher Fano varieties is given. The focus is [Min18], where results of de Jong-S...
Some properties of Fano manifolds of product type involving the coindex and the number of factors ar...
We show that a smooth projective geometrically rationally connected variety over the real numbers wi...
We prove that Generalized Mukai Conjecture holds for Fano manifolds $X$ of pseudoindex $i_X \geq (di...
Let X be a Fano variety of dimension n, pseudoindex iX and Picard number ρX. A generalization of a c...
©2016 American Mathematical Society. We associate to any complete spherical variety X a certain nonn...
In this paper we classify pairs (X; E) with E ample vector bundle of rank r on a smooth variety X o...
Abstract. We study Fano manifolds of pseudoindex greater than one and dimension greater than five, w...
It is shown here that any prime Fano threefold of genus 9 is not exotic, that is, its scheme of line...
Mukai varieties are Fano varieties of Picard number one and coindex three. In genus seven to ten the...
Abstract. The Morrison–Kawamata Cone Conjecture predicts that the action of the auto-morphism group ...
In a joint research programme with Jun-Muk Hwang we have been investigating geometric structures on ...
In a series of articles with Jun-Muk Hwang starting from the late 1990s, we introduced a geometric t...
Abstract. In this paper we investigate Fano manifolds X whose Chern char-acters chk(X) satisfy some ...
This thesis is divided in two parts. In the first part we study the 2-Fano varieties. The 2-Fano var...
A concise survey on higher Fano varieties is given. The focus is [Min18], where results of de Jong-S...
Some properties of Fano manifolds of product type involving the coindex and the number of factors ar...
We show that a smooth projective geometrically rationally connected variety over the real numbers wi...
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