3 papers
math.DG2020
Uniqueness of optimal symplectic connections
Ruadhaí Dervan, Lars Martin Sektnan
Consider a holomorphic submersion between compact Kähler manifolds, such that each fibre admits a constant scalar curvature Kähler metric. When the fibres admit continuous automorp…
math.DG2019
Optimal symplectic connections on holomorphic submersions
Ruadhaí Dervan, Lars Martin Sektnan
The main result of this paper gives a new construction of extremal Kähler metrics on the total space of certain holomorphic submersions, giving a vast generalisation and unificatio…
math.AG2019
K-semistability of optimal degenerations
Ruadhaí Dervan
K-polystability of a polarised variety is an algebro-geometric notion conjecturally equivalent to the existence of a constant scalar curvature Kähler metric. When a variety is K-un…