59 citations · 172 across the 27 of their papers we have counts for
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math.DG2012★ 2 cited
Extremal metrics and lower bound of the modified K-energy
Yuji Sano, Carl Tipler
We provide a new proof of a result of X.X.Chen and G.Tian : for a polarized extremal Kähler manifold, an extremal metric attains the minimum of the modified K-energy. The proof use…
math.DG2012
A note on blow-ups of toric surfaces and cscK metrics
Carl Tipler
Let X be a compact toric surface. There exists a sequence of torus equivariant blow-ups of X such that the blown-up toric surface obtained admits a cscK metric.
math.DG2012★ 5 cited
Deformations of extremal toric manifolds
Yann Rollin, Carl Tipler
Let be a compact toric extremal Kähler manifold. Using the work of Székelyhidi, we provide a combinatorial criterion on the fan describing to ensure the existence of comple…