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The degenerate J-flow and the Mabuchi energy on minimal surfaces of general type

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Song J., Weinkove B.
Universitatis Iagellonicae Acta Mathematica
|
2012
|
vol. 50
EN
We prove existence, uniqueness and convergence of solutions of the degenerate J-flow on Kähler surfaces. As an application, we establish the properness of the Mabuchi energy for Kähler classes in a certain subcone of the Kähler cone on minimal surfaces of general type.
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