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Stability of twisted constant scalar curvature Kähler metrics

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A natural question is whether or not a Kähler manifold admits a canonical choice of Kaehler metric. Calabi proposed that such metrics should have constant scalar curvature, however, unfortunately these metrics do not always exist. One way of constructing such metrics in certain cases is by first solving an auxiliary equation, namely the twisted constant scalar curvature equation. We show that the existence of solutions to this equation implies a form of algebro-geometric stability.

This talk is part of the Junior Geometry Seminar series.

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