23 citations · 56 across the 18 of their papers we have counts for
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math.DG2017★ 7 cited
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…
math.AG2017
Stable maps in higher dimensions
Ruadhaí Dervan, Julius Ross
We formulate a notion of stability for maps between polarised varieties which generalises Kontsevich's definition when the domain is a curve and Tian-Donaldson's definition of K-st…
math.DG2017
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…