22 citations · 24 across the 4 of their papers we have counts for
4 papers
Motzkin combinatorics in linear degenerations of the flag variety
Giovanni Cerulli Irelli, Francesco Esposito, Mario Marietti
We establish an explicit combinatorial/homological characterization of supports for linear degenerations of flag varieties. For such purpose, we introduce the concept of an excessi…
Degenerate flag varieties: moment graphs and Schröder numbers
Giovanni Cerulli Irelli, Evgeny Feigin, Markus Reineke
We study geometric and combinatorial properties of the degenerate flag varieties of type A. These varieties are acted upon by the automorphism group of a certain representation of…
Linear independence of cluster monomials for skew-symmetric cluster algebras
Giovanni Cerulli Irelli, Bernhard Keller, Daniel Labardini-Fragoso +1
Fomin-Zelevinsky conjectured that in any cluster algebra, the cluster monomials are linearly independent and that the exchange graph and cluster complex are independent of the choi…
A homological interpretation of the transverse quiver Grassmannians
Giovanni Cerulli Irelli, Gregoire Dupont, Francesco Esposito
In recent articles, the investigation of atomic bases in cluster algebras associated to affine quivers led the second-named author to introduce a variety called transverse quiver G…