30 citations · 123 across the 31 of their papers we have counts for
5 papers · 1 filter
Signed-eliminable graphs and free multiplicities on the braid arrangement
Takuro Abe, Koji Nuida, Yasuhide Numata
We define specific multiplicities on the braid arrangement by using edge-bicolored graphs. To consider their freeness, we introduce the notion of bicolor-eliminable graphs as a gen…
An Algorithm to Construct A Basis for the Module of Logarithmic Vector Fields
Yasuhide Numata
We consider logarithmic vector fields parametrized by finite collections of weighted hyperplanes. For a finite collection of weighted hyperplanes in a two-dimensional vector space,…
Exponents of 2-multiarrangements and multiplicity lattices
Takuro Abe, Yasuhide Numata
We introduce a concept of multiplicity lattices of 2-multiarrangements, determine the combinatorics and geometry of that lattice, and give a criterion and method to construct a bas…
The strong Lefschetz property of the coinvariant ring of the Coxeter group of type H4
Yasuhide Numata, Akihito Wachi
We prove that the coinvariant ring of the irreducible Coxeter group of type H4 has the strong Lefschetz property.
An extended Schur's lemma and its application
Yasuhide Numata
The Springer modules have a combinatorial property called ``coincidence of dimensions,'' i.e., the Springer modules are naturally decomposed into submodules with common dimensions.…