Unstable Products of Smooth Curves

@inproceedings{Ross2006UnstablePO,
  title={Unstable Products of Smooth Curves},
  author={Julius Ross},
  year={2006}
}
We give examples of smooth surfaces with negative first Chern class which are slope unstable with respect to certain polarisations, and so have Kähler classes that do not admit any constant scalar curvature Kähler metrics. We also compare this to the work of Song-Weinkove on the J-flow. 

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