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math.DG2003★ 2 cited
On the J-flow in higher dimensions and the lower boundedness of the Mabuchi energy
Ben Weinkove
The J-flow is a parabolic flow on Kahler manifolds. It was defined by Donaldson in the setting of moment maps and by Chen as the gradient flow of the J-functional appearing in his…
math.DG2003
A complex Frobenius theorem, multiplier ideal sheaves and Hermitian-Einstein metrics on stable bundles
Ben Weinkove
This paper describes how, in the case of algebraic surfaces, the well-known theorem of Donaldson-Uhlenbeck-Yau can be proved in a framework of generalized 'multiplier ideal sheaves…
math.DG2003
Convergence of the J-flow on Kahler surfaces
Ben Weinkove
Donaldson defined a parabolic flow on Kahler manifolds which arises from considering the action of a group of symplectomorphisms on the space of smooth maps between manifolds. One…