Grassmannians and universal coefficients for cluster algebras

Home
Embedding
The cone C
Toric ideals
Flat family
A_3,6^univ

Instituto de Matemáticas UNAM Unidad Oaxaca
León 2, altos, Oaxaca de Juárez
Centro Histórico
68000 Oaxaca, Mexico.

Office: sede Martires de Tacubaya 505a
Email: lara (at) im.unam.mx

Welcome!

On this page you can find computational data regarding what we call the cluster embedding of the Grassmannain Gr(3,6), the description of a particular maximal cone in the Gröbner fan of its defining ideal, the toric initial ideals corresponding to faces of the maximal cone that are induced by seeds, the flat family associated to the maximal cone, and a description of the cluster algebra with universal coefficients A_3,6^univ

• "Families of Gröbner degenerations, Grassmannians and universal cluster algebras"
  by L. Bossinger, F. Mohammadi, and A. Nájera Chávez
  arXiv:2007.14972[math.AG]
  

For the computations we used the computer program Macaulay2, B. Keller's Quiver Mutation App, and polymake.
Any kind of comments, remarks or questions regarding the homepage or the paper are very much appreciated. Feel free to send them to lara(at)im.unam.mx.

Links: Macaulay2, Quiver Mutation App, polymake