Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The existence of the K\"ahler-Ricci soliton degeneration   We prove an algebraic version of the Hamilton-Tian Conjecture for all log
Fano pairs. More precisely, we show that any log Fano pair admits a canonical
two-step degeneration to a reduced uniformly Ding stable triple, which admits a
K\"ahler-Ricci soliton when the ground field $\mathbb{k}=\mathbb{C}$.

22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an