Ya. Li, Zh. Li, “On the limits of Kähler–Ricci flow on Fano group compactifications”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2023, Volume 222,Pages <nobr>30

On the limits of Kähler–Ricci flow on Fano group compactifications

Ya. Li^a, Zh. Li^b

^a Beijing Institute of Technology
^b Beijing University of Chemical Technology

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.

UDC: 512.7+514.7

MSC: 14Jxx, 53E30

DOI: 10.36535/0233-6723-2023-222-30-41