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math.DG2021
Extremal Kähler metrics on blowups
Ruadhaí Dervan, Lars Martin Sektnan
Consider a compact Kähler manifold which either admits an extremal Kähler metric, or is a small deformation of such a manifold. We show that the blowup of the manifold at a point a…
math.DG2021
Stability conditions for polarised varieties
Ruadhaí Dervan
We introduce an analogue of Bridgeland's stability conditions for polarised varieties. Much as Bridgeland stability is modelled on slope stability of coherent sheaves, our notion o…