22 citations · 80 across the 19 of their papers we have counts for
25 papers
Burchnall-Chaundy polynomials for matrix ODOs and Picard-Vessiot Theory
Emma Previato, Sonia L. Rueda, Maria-Angeles Zurro
Burchnall and Chaundy showed that if two ODOs , with analytic coefficients commute there exists a polynomial with complex coefficients such that , called…
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…
Arithmetic jet spaces
Alessandra Bertapelle, Emma Previato, Arnab Saha
We extend Borger's construction of algebraic jet spaces to allow for an arbitrary prolongation sequence, clarify the relation between Borger's and Buium's jet spaces and compare th…
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 $(…