63 citations · 243 across the 10 of their papers we have counts for
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math.DG2007
Optimal test-configurations for toric varieties
Gábor Székelyhidi
On a K-unstable toric variety we show the existence of an optimal destabilising convex function. We show that if this is piecewise linear then it gives rise to a decomposition into…
math.DG2007★ 6 cited
The Calabi functional on a ruled surface
Gábor Székelyhidi
We study the Calabi functional on a ruled surface over a genus two curve. For polarisations which do not admit an extremal metric we describe the behaviour of a minimising sequence…