131 citations · 736 across the 37 of their papers we have counts for
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math.DG2006★ 8 cited
Extremal metrics on toric surfaces, I
S. K. Donaldson
The paper develops a continiuty method for solutions of the Abreu equation, which include extremal metrics on toric surfaces. Results are obtained, assuming a hypothesis (the "M-co…
math.DG2006
Two-forms on four-manifolds and elliptic equations
S. K. Donaldson
We define a general class of elliptic equations for 2-forms on 4-manifolds, of which the complex Monge-Ampere equation is a prototype. We obtain some regularity results and discuss…
math.DG2006★ 8 cited
Toric anti-self-dual 4-manifolds via complex geometry
Simon K. Donaldson, Joel Fine
Using the twistor correspondence, this article gives a one-to-one correspondence between germs of toric anti-self-dual conformal classes and certain holomorphic data determined by…