5 papers
Finite Directional Coefficient Modules over Euler Fibers of -Hypergeometric Systems
Go Okuyama
Let A be a d-by-n integer matrix of rank d, let beta belong to the d-dimensional complex vector space, and consider the A-hypergeometric system defined by the ideal H_A(beta), with…
Talked Out of the Truth: Sycophancy in the Reasoning Chains of Multimodal Models
Mahir Numayeer Islam, Gakuto Okuyama, Nikolaus Siauw +3
Large multimodal reasoning models (LMRMs) are increasingly capable, largely through generating explicit chain-of-thought reasoning before answering, but in language models this oft…
Fourier-Orbit Construction of GKZ-Type Systems for Commutative Linear Algebraic Groups
Go Okuyama
We study GKZ-type D-modules arising from the actions of commutative linear algebraic groups G = TU (where T is a torus and U is unipotent) on a vector space. Building on Hotta's eq…
Logarithmic -hypergeometric series
Go Okuyama, Mutsumi Saito
We study the logarithmic coefficients that can occur at a fixed fake exponent in an -hypergeometric series subject to prescribed negative support conditions. Let $L=\operatornam…
Logarithmic A-hypergeometric series II
Go Okuyama, Mutsumi Saito
In this paper, following [6], we continue to develop the perturbing method of constructing logarithmic series solutions to a regular A-hypergeometric system. Fixing a fake exponent…