Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the lattice-geometry and birational group of the six-point
  multi-ratio equation   The inherent self-consistency properties of the six-point multi-ratio
equation allow it to be considered on a domain associated with a T-shaped
Coxeter-Dynkin diagram. This extends the KP lattice, which has A_N symmetry,
and incorporates also KdV-type dynamics on a sub-domain with D_N symmetry, and
Painleve dynamics on a sub-domain with affine-E8 symmetry. More generally, it
can be seen as a distinguished representation of Coble's Cremona group
associated with invariants of point sets in projective space.

28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
16
The categories of this paper are: stat