1 citations · 1 across the 7 of their papers we have counts for
7 papers
Frobenius identities for the volume map on Cohen--Macaulay rings
Karim Alexander Adiprasito, Eric Katz, Ryoshun Oba +2
We study the volume map on Artinian quotients of Cohen-Macaulay algebras in characteristic , and the interaction between it and the action of Frobenius on resolutions. This allo…
Parseval-Rayleigh identities for homogeneous complete intersections
Karim Alexander Adiprasito, Ryoshun Oba, Stavros Argyrios Papadakis +1
We prove, in any positive characteristic, Parseval-Rayleigh identities for the residue map of a homogeneous complete intersection. As an application, we give a conceptual proof of…
Multigraded strong Lefschetz property for balanced simplicial complexes
Ryoshun Oba
Generalizing the strong Lefschetz property for an -graded algebra, we introduce the multigraded strong Lefschetz property for an -graded algebra. We show…
Rigidity of Balanced Minimal Cycle Complexes
Ryoshun Oba
A -dimensional simplicial complex is balanced if its graph is -colorable. Klee and Novik obtained the balanced lower bound theorem for balanced normal -…
Realizable Dimension of Periodic Frameworks
Ryoshun Oba, Shin-ichi Tanigawa
Belk and Connelly introduced the realizable dimension of a finite graph , which is the minimum nonnegative integer such that every framework in any…
Super Stable Tensegrities and the Colin de Verdière Number
Ryoshun Oba, Shin-ichi Tanigawa
A super stable tensegrity introduced by Connelly in 1982 is a globally rigid discrete structure made from stiff bars or struts connected by cables with tension. In this paper we sh…
Characterizing the Universal Rigidity of Generic Tensegrities
Ryoshun Oba, Shin-ichi Tanigawa
A tensegrity is a structure made from cables, struts and stiff bars. A -dimensional tensegirty is universally rigid if it is rigid in any dimension with . The cel…