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Ryunosuke Nakano

3 papers indexed here

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Preprint Sep 2026

The Constant in Thomae-Type Formulas for Eight Points on the Complex Projective Line

We consider the family of cyclic fourfold covers $w^4 = \prod_{j=1}^{7}(z-x_j)$ of the complex projective line branched at the eight points $x_1,\ldots,x_7,\infty$. The period map identifies the configuration space $X(2,8)$ of the branch points with a Zariski open subset of a quotient of the five-dimensional complex ba...

Ryunosuke Nakano · 0 citations
Preprint Aug 2026

The obstruction to intrinsic perturbation for $A$-hypergeometric series

We show that, at a fake exponent of an $A$-hypergeometric system and for an ordered negative support family, intrinsic perturbation within $\ker_{\mathbb{Z}}(A)$ can produce a strictly smaller coefficient space than ambient perturbation, which answers a question of Okuyama--Saito. We measure the failure by an intrinsic...

Ryunosuke Nakano · 2 citations
Preprint Aug 2026

Obstructions to intrinsic perturbation for $A$-hypergeometric series

We show that, at a fake exponent of an $A$-hypergeometric system and for an ordered negative support family, intrinsic perturbation within $\ker_{\mathbb{Z}}(A)$ can produce a strictly smaller coefficient space than ambient perturbation, which answers a question of Okuyama--Saito. We measure the gap by an intrinsic-per...

Ryunosuke Nakano · 0 citations

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