CORDIS Project
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This project focuses on the mathematical study of the Kaehler-Ricci flow, particularly its regularity properties and asymptotic behavior near singularities. It aims to enhance understanding of metrics in singular varieties, which has implications in theoretical physics.
Smoothing properties of the Kaehler-Ricci flow have been known and used for a long time.
Attempt to run the Kaehler-Ricci flow from a degenerate initial data has been of great interest in the last decades.
The bet result so far was recently obtained by Guedj and Zeriahi that were able to define the maximal flow for any initial current with zero Lelong number.
This initial current will be smoothed out immediately.
One example was also given showing that there might be no regularity at all in the…
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