Abstract
This book is the first comprehensive reference on the Kähler–Ricci flow. It provides an introduction to fully non-linear parabolic equations, to the Kähler–Ricci flow in general and to Perelman’s estimates in the Fano case, and also presents the connections with the Minimal Model program.
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- 1.
We follow the convention to specify a Kähler metric g on a complex manifold by the associated closed (1,1)-form ω.
- 2.
The equivalence between K-polystability and the existence of a Kähler–Einstein metric has recently been announced by Chen–Donaldson–Sun and Tian, independently.
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Boucksom, S., Eyssidieux, P., Guedj, V. (2013). Introduction. In: Boucksom, S., Eyssidieux, P., Guedj, V. (eds) An Introduction to the Kähler-Ricci Flow. Lecture Notes in Mathematics, vol 2086. Springer, Cham. https://doi.org/10.1007/978-3-319-00819-6_1
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DOI: https://doi.org/10.1007/978-3-319-00819-6_1
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