5 citations · 19 across the 5 of their papers we have counts for
5 papers
Commuting graphs on Coxeter groups, Dynkin diagrams and finite subgroups of
Umar Hayat, Álvaro Nolla de Celis, Fawad Ali
For a group and a non empty subset , the commuting graph is the graph with as the node set and where any are joined by an edg…
Flops and mutations for crepant resolutions of polyhedral singularities
Alvaro Nolla de Celis, Yuhi Sekiya
Let be a polyhedral group of types , and . We prove that there exists a one-to-one correspondence between flops of…
On G/N-Hilb of N-Hilb
Akira Ishii, Yukari Ito, Álvaro Nolla de Celis
In this paper we consider the iterated G-equivariant Hilbert scheme G/N-Hilb(N-Hilb) and prove that G/N-Hilb(N-Hilb(C^3)) is a crepant resolution of C^3/G isomorphic to the moduli…
Dihedral G-Hilb via representations of the McKay quiver
Álvaro Nolla de Celis
For a given small binary dihedral group G we use the classification of G-graphs to describe explicitly G-Hilb(C^2) by giving an affine open cover of M(Q,R), the moduli space of sta…
G-graphs and special representations for binary dihedral groups in GL(2,C)
Álvaro Nolla de Celis
We give the classification of all possible G-graphs for any small binary dihedral subgroup G in GL(2,C) and use this classification to give the combinatorial description of the spe…