Geodesic
On the limits of K\"ahler--Ricci flow on Fano group compactifications
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 222 (2023), pp. 30-41

Voir la notice de l'article provenant de la source Math-Net.Ru

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 $2$.
Mots-clés : Kähler–Ricci soliton
Keywords: Kähler–Ricci flow, $\mathbb{Q}$-Fano compactification, $K$-stability. 
@article{INTO_2023_222_a3,
     author = {Ya. Li and Zh. Li},
     title = {On the limits of {K\"ahler--Ricci} flow on {Fano} group compactifications},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {30--41},
     publisher = {mathdoc},
     volume = {222},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2023_222_a3/}
}
TY  - JOUR
AU  - Ya. Li
AU  - Zh. Li
TI  - On the limits of K\"ahler--Ricci flow on Fano group compactifications
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2023
SP  - 30
EP  - 41
VL  - 222
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2023_222_a3/
LA  - ru
ID  - INTO_2023_222_a3
ER  - 
%0 Journal Article
%A Ya. Li
%A Zh. Li
%T On the limits of K\"ahler--Ricci flow on Fano group compactifications
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2023
%P 30-41
%V 222
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2023_222_a3/
%G ru
%F INTO_2023_222_a3
Ya. Li; Zh. Li. On the limits of K\"ahler--Ricci flow on Fano group compactifications. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 222 (2023), pp. 30-41. http://geodesic.mathdoc.fr/item/INTO_2023_222_a3/