36 citations · 248 across the 57 of their papers we have counts for
58 papers
A novel symmetry in nanocarbons: pre-constant discrete principal curvature structure
Yutaro Kabata, Shigeki Matsutani, Yusuke Noda +2
Since the first-principles calculations in quantum chemistry precisely provide possible configurations of carbon atoms in nanocarbons, we have analyzed the geometrical structure of…
Algebraic construction of the sigma function for general Weierstrass curves
Jiryo Komeda, Shigeki Matsutani, Emma Previato
The Weierstrass curve is a smooth algebraic curve determined by the Weierstrass canonical form, ,…
Complementary Modules of Weierstrass Canonical Forms
Jiryo Komeda, Shigeki Matsutani, Emma Previato
The Weierstrass curve is a pointed curve with a numerical semigroup , which is a normalization of the curve given by the Weierstrass canonical form, $y^r + A_{1}(…
An algebro-geometric model for the shape of supercoiled DNA
Shigeki Matsutani, Emma Previato
This article proposes a model including thermal effects for closed supercoiled DNA. Existing models include an elastic rod. Euler's elastica, ideal elastic rods on a plane, have on…
On -Elastica
Shigeki Matsutani, Hiroshi Nishiguchi, Kenji Higashida +2
In this paper, we investigate a transition from an elastica to a piece-wised elastica whose connected point defines the hinge angle ; we refer the piece-wised elastica $Λ_{ϕ_0…
The sigma function over a family of cyclic trigonal curves with a singular fiber
Yuri Fedorov, Jiyro Komeda, Shigeki Matsutani +2
In this paper we investigate the behavior of the sigma function over the family of cyclic trigonal curves defined by the equation in the affine $(…