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math.AG2011★ 18 cited
Filtrations and test-configurations
Gábor Székelyhidi
We introduce a strengthening of K-stability, based on filtrations of the homogeneous coordinate ring. This allows for considering certain limits of families of test-configurations,…
math.AG2004★ 3 cited
Extremal metrics and K-stability
Gábor Székelyhidi
We propose an algebraic geometric stability criterion for a polarised variety to admit an extremal Kaehler metric. This generalises conjectures by Yau, Tian and Donaldson which rel…