Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the \alpha-Invariants of Cubic Surfaces with Eckardt Points   In this paper, we show that the \alpha_{m,2}-invariant of a smooth cubic
surface with Eckardt points is strictly bigger than 2/3. This can be used to
simplify Tian's original proof of the existence of Kaehler-Einstein metrics on
such manifolds. We also sketch the computations on cubic surfaces with one
ordinary double points, and outline the analytic difficulties to prove the
existence of orbifold Kaehler-Einstein metrics.

35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat