7 citations · 16 across the 12 of their papers we have counts for
3 papers · 1 filter
Extremal metrics on fibrations
Ruadhaí Dervan, Lars Martin Sektnan
Consider a fibred compact Kähler manifold X endowed with a relatively ample line bundle, such that each fibre admits a constant scalar curvature Kähler metric and has discrete auto…
Extremal Kähler Poincaré type metrics on toric varieties
Vestislav Apostolov, Hugues Auvray, Lars Martin Sektnan
We develop a general theory for the existence of extremal Kähler metrics of Poincaré type in the sense of Auvray, defined on the complement of a toric divisor of a polarized toric…
Hermitian Yang-Mills connections on blowups
Ruadhaí Dervan, Lars Martin Sektnan
Consider a vector bundle over a Kähler manifold which admits a Hermitian Yang-Mills connection. We show that the pullback bundle on the blowup of the Kähler manifold at a collectio…