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pro vyhledávání: '"de Celis, Álvaro Nolla"'
Autor:
de Celis, Álvaro Nolla
This paper presents two new explicit examples of Reid's recipe for non-abelian groups in $SL(3,\mathbb{C})$, namely the dihedral group $\mathbb{D}_{5,2}$ and a trihedral group of order 39.
Externí odkaz:
http://arxiv.org/abs/2109.10039
A graph is said to be NSSD (= non-singular with a singular deck) if it has no eigenvalue equal to zero, whereas all its vertex-deleted subgraphs have eigenvalues equal to zero. NSSD graphs are of importance in the theory of conductance of organic com
Externí odkaz:
http://arxiv.org/abs/1910.12218
We construct a consistent dimer model having the same symmetry as its characteristic polygon. This produces examples of non-commutative crepant resolutions of non-toric non-quotient Gorenstein singularities in dimension 3.
Comment: 23 pages, 5 f
Comment: 23 pages, 5 f
Externí odkaz:
http://arxiv.org/abs/1903.01775
For a group $H$ and a non empty subset $\Gamma\subseteq H$, the commuting graph $G=\mathcal{C}(H,\Gamma)$ is the graph with $\Gamma$ as the node set and where any $x,y \in \Gamma$ are joined by an edge if $x$ and $y$ commute in $H$. We prove that any
Externí odkaz:
http://arxiv.org/abs/1703.02480
Autor:
de Celis, Alvaro Nolla, Sekiya, Yuhi
Let $G$ be a polyhedral group $G\subset SO(3)$ of types $\mathbb{Z}/n\mathbb{Z}$, $D_{2n}$ and $\mathbb{T}$. We prove that there exists a one-to-one correspondence between flops of $G$-Hilb$\mathbb{C}^3$ and mutations of the McKay quiver with potenti
Externí odkaz:
http://arxiv.org/abs/1108.2352
Publikováno v:
Kyoto J. Math. 53, no. 1 (2013), 91-130
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 space of \theta-stable representations of the McKay quiver for certain
Externí odkaz:
http://arxiv.org/abs/1108.2310
Autor:
de Celis, Álvaro Nolla
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 special representations of G in terms of its maximal cyclic normal subgro
Externí odkaz:
http://arxiv.org/abs/0905.1190
Autor:
de Celis, Álvaro Nolla
Publikováno v:
Proc. Japan Acad. Ser. A, 88(5):78--83, 2012
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 stable quiver representations.
Comment: Final version. Contains two
Comment: Final version. Contains two
Externí odkaz:
http://arxiv.org/abs/0905.1195
Publikováno v:
Open Mathematics, Vol 17, Iss 1, Pp 1526-1537 (2019)
A graph is said to be NSSD (=non-singular with a singular deck) if it has no eigenvalue equal to zero, whereas all its vertex-deleted subgraphs have eigenvalues equal to zero. NSSD graphs are of importance in the theory of conductance of organic comp
Externí odkaz:
https://doaj.org/article/43d3844529354cb6bfb065827d3499d1
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