13 citations · 34 across the 7 of their papers we have counts for
7 papers · 1 filter
Freeness of hyperplane arrangements associated with gain graphs
Daisuke Suyama, Michele Torielli, Shuhei Tsujie
Athanasiadis studied arrangements obtained by adding shifted hyperplanes to the braid arrangement. Similarly, Bailey studied arrangements obtained by adding tilted hyperplanes to t…
The Primitive Derivation and Discrete Integrals
Daisuke Suyama, Masahiko Yoshinaga
The modules of logarithmic derivations for the (extended) Catalan and Shi arrangements associated with root systems are known to be free. However, except for a few cases, explicit…
Signed graphs and the freeness of the Weyl subarrangements of type
Daisuke Suyama, Michele Torielli, Shuhei Tsujie
A Weyl arrangement is the hyperplane arrangement defined by a root system. Arnold and Saito proved that every Weyl arrangement is free. The Weyl subarrangements of type …
Vertex-weighted graphs and freeness of -graphical arrangements
Daisuke Suyama, Shuhei Tsujie
Let be a simple graph of vertices with edge set . The graphical arrangement consists of hyperplanes $ \{x_{i}-x_…
The freeness of Ish arrangements
Takuro Abe, Daisuke Suyama, Shuhei Tsujie
The Ish arrangement was introduced by Armstrong to give a new interpretation of the -Catalan numbers of Garsia and Haiman. Armstrong and Rhoades showed that there are some str…
A basis construction of the extended Catalan and Shi arrangements of the type
Takuro Abe, Daisuke Suyama
In [9], Terao proved the freeness of multi-Coxeter arrangements with constant multiplicities by giving an explicit construction of bases. Combining it with algebro-geometric method…
A basis construction for the Shi arrangement of the type or
Daisuke Suyama
The Shi arrangement is an affine arrangement of hyperplanes consisting of the hyperplanes of the Weyl arrangement and their parallel translations. It was introduced by J.-Y. Shi in…