1 citations · 2 across the 6 of their papers we have counts for
6 papers
Non-vanishing of homotopy groups of Manin--Schechtman arrangements
Takuya Saito, So Yamagata
One of the central problems in the topology of hyperplane arrangements is determining whether the complement is a -space. In this paper, we study Manin--Schechtman arrangem…
Periodicity of weight enumerators for codes generated by an integral matrix
Koji Imamura, Norihiro Nakashima, Takuya Saito
In the theory of error-correcting codes, the minimum weight and the weight enumerator play a crucial role in evaluating the error-correcting performance. In this paper, by viewing…
Arithmetic non-very generic arrangements
Pragnya Das, Takuya Saito, Simona Settepanella
A discriminantal hyperplane arrangement B(n,k,A) is constructed from a given (generic) hyperplane arrangement A, which is classified as either very generic or non-very generic depe…
Degeneration in discriminantal arrangements
Takuya Saito
Discriminantal arrangements are hyperplane arrangements, which are generalized braid ones. They are constructed from given hyperplane arrangements, but their combinatorics are not…
Homogeneous quandles with abelian inner automorphism groups
Takuya Saito, Sakumi Sugawara
In this paper, we give a characterization of homogeneous quandles with abelian inner automorphism groups. In particular, we show that such a quandle is expressed as an abelian exte…
A categorification for the characteristic polynomial of matroids
Takuya Saito, So Yamagata
In the present paper, we provide cohomology groups for matroids, as a categorification of the characteristic polynomial of matroids. The construction depends on the ``quasi-represe…