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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 222, Pages 30–41
DOI: https://doi.org/10.36535/0233-6723-2023-222-30-41 (Mi into1139) 		 
On the limits of Kähler–Ricci flow on Fano group compactifications

Ya. Lia, Zh. Lib

a Beijing Institute of Technology
b Beijing University of Chemical Technology
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DOI: https://doi.org/10.36535/0233-6723-2023-222-30-41
Abstract: Let $G$ be a connected, complex reductive group. In this paper, we review the results on semistable limit of $\mathbb Q$-Fano compactifications and the characterization of minimizers of Futaki invariants. Using the algebraic uniqueness, we construct the limiting space of the Kähler–Ricci flow on Fano group compactifications of rank $2$.
Keywords: Kähler–Ricci soliton, Kähler–Ricci flow, $\mathbb{Q}$-Fano compactification, $K$-stability.
Funding agency Grant number
National Natural Science Foundation of China 12101043
This work was partially supported by NSFC Grant 12101043 and the Beijing Institute of Technology Research Fund Program for Young Scholars.
Document Type: Article
UDC: 512.7+514.7
MSC: 14Jxx, 53E30
Language: Russian
Citation: Ya. Li, Zh. Li, “On the limits of Kähler–Ricci flow on Fano group compactifications”, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998).  Moscow, November 1–4, 2021. Part 3, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 222, VINITI, Moscow, 2023, 30–41
Citation in format AMSBIB
\Bibitem{LiLi23}
\by Ya.~Li, Zh.~Li
\paper On the limits of K\"ahler--Ricci flow on Fano group compactifications
\inbook Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998).  Moscow, November 1–4, 2021. Part 3
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 222
\pages 30--41
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1139}
\crossref{https://doi.org/10.36535/0233-6723-2023-222-30-41}
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