International audienceLet be a Kahler manifold obtained by blowing up a complex projective space along a line . We prove that is slope unstable with respect to any polarisation, and hence, it does not admit constant scalar curvature Kahler metrics in any rational Kahler class
We provide new examples of K-unstable polarized smooth del Pezzo surfaces using a flopped version fi...
We provide new examples of K-unstable polarized smooth del Pezzo surfaces using a flopped version fi...
Consider a polarized complex manifold (X, L) and a ray of positive metrics on L defined by a positiv...
International audienceLet be a Kahler manifold obtained by blowing up a complex projective space alo...
International audienceLet be a Kahler manifold obtained by blowing up a complex projective space alo...
On a compact Ka ̈hler manifold we introduce a cohomological obstruction to the solvability of the co...
On a compact Ka ̈hler manifold we introduce a cohomological obstruction to the solvability of the co...
On a compact Ka ̈hler manifold we introduce a cohomological obstruction to the solvability of the co...
We show that a polarised manifold with a constant scalar curvature Kähler metric and discrete automo...
We show that a polarised manifold with a constant scalar curvature Kähler metric and discrete automo...
Let (X,L) be a polarised manifold. We show that K-stability and as- ymptotic Chow stability of the b...
Let (X,L) be a polarised manifold. We show that K-stability and as- ymptotic Chow stability of the b...
This thesis presents some of my works on projective geometry. The first part of this thesis prov...
Ross and Thomas have shown that subschemes can K-destabilise polarised varieties, yielding a notion ...
Ross and Thomas introduced the concept of slope stability to study K-stability, which has conjectura...
We provide new examples of K-unstable polarized smooth del Pezzo surfaces using a flopped version fi...
We provide new examples of K-unstable polarized smooth del Pezzo surfaces using a flopped version fi...
Consider a polarized complex manifold (X, L) and a ray of positive metrics on L defined by a positiv...
International audienceLet be a Kahler manifold obtained by blowing up a complex projective space alo...
International audienceLet be a Kahler manifold obtained by blowing up a complex projective space alo...
On a compact Ka ̈hler manifold we introduce a cohomological obstruction to the solvability of the co...
On a compact Ka ̈hler manifold we introduce a cohomological obstruction to the solvability of the co...
On a compact Ka ̈hler manifold we introduce a cohomological obstruction to the solvability of the co...
We show that a polarised manifold with a constant scalar curvature Kähler metric and discrete automo...
We show that a polarised manifold with a constant scalar curvature Kähler metric and discrete automo...
Let (X,L) be a polarised manifold. We show that K-stability and as- ymptotic Chow stability of the b...
Let (X,L) be a polarised manifold. We show that K-stability and as- ymptotic Chow stability of the b...
This thesis presents some of my works on projective geometry. The first part of this thesis prov...
Ross and Thomas have shown that subschemes can K-destabilise polarised varieties, yielding a notion ...
Ross and Thomas introduced the concept of slope stability to study K-stability, which has conjectura...
We provide new examples of K-unstable polarized smooth del Pezzo surfaces using a flopped version fi...
We provide new examples of K-unstable polarized smooth del Pezzo surfaces using a flopped version fi...
Consider a polarized complex manifold (X, L) and a ray of positive metrics on L defined by a positiv...
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