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math.DG2016
The Kähler-Ricci flow and optimal degenerations
Ruadhaí Dervan, Gábor Székelyhidi
We prove that on Fano manifolds, the Kähler-Ricci flow produces a "most destabilising" degeneration, with respect to a new stability notion related to the H-functional. This answer…
math.DG2016
Extremal metrics on blowups along submanifolds
Reza Seyyedali, Gábor Székelyhidi
We give conditions under which the blowup of an extremal Kähler manifold along a submanifold of codimension greater than two admits an extremal metric. This generalizes work of Are…