Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometry of the Kimura 3-parameter model   The Kimura 3-parameter model on a tree of n leaves is one of the most used in
phylogenetics. The affine algebraic variety W associated to it is a toric
variety. We study its geometry and we prove that it is isomorphic to a
geometric quotient of the affine space by a finite group acting on it. As a
consequence, we are able to study the singularities of W and prove that the
biologically meaningful points are smooth points. Then we give an algorithm for
constructing a set of minimal generators of the localized ideal at these
points, for an arbitrary number of leaves n. This leads to a major improvement
of phylogenetic reconstruction methods based on algebraic geometry.

25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ