Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric flow, Multiplier ideal sheaves and Optimal destabilizer for a
  Fano manifold   S. K. Donaldson asked whether the lower bound of the Calabi functional is
achieved by a sequence the normalized Donaldson-Futaki invariants. We answer
the question for the Ricci curvature formalism, in place of the scalar
curvature. The principle is that the stability indicator is optimized by the
multiplier ideal sheaves of certain weak geodesic ray asymptotic to the
geometric flow. We actually prove it in the two case: the inverse Monge-Ampere
flow and the Kahler-Ricci flow.

24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex