10 citations · 24 across the 16 of their papers we have counts for
16 papers
Computing defining ideals of space spectral curves for algebro-geometric third order ODOs
Sonia L. Rueda, Maria-Angeles Zurro
Commuting pairs of ordinary differential operators (ODOs) have been related to plane algebraic curves since the work of Burchnall and Chaundy a century ago. We introduce now the co…
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…
Factoring Third Order Ordinary Differential Operators over Spectral Curves
Sonia L. Rueda, Maria-Angeles Zurro
We consider the classical factorization problem of a third order ordinary differential operator , for a spectral parameter . It is assumed that is an algebro-geometric…
Factorization of KdV Schrödinger operators using differential subresultants
Juan J. Morales-Ruiz, Sonia L. Rueda, Maria-Angeles Zurro
We address the classical factorization problem of a one dimensional Schrödinger operator , for a stationary potential of the KdV hierarchy but, in this occasio…
Commuting Ordinary Differential Operators and the Dixmier Test
Emma Previato, Sonia L. Rueda, Maria-Angeles Zurro
The Burchnall-Chaundy problem is classical in differential algebra, seeking to describe all commutative subalgebras of a ring of ordinary differential operators whose coefficients…
Spectral Picard-Vessiot fields for Algebro-geometric Schrödinger operators
Juan J. Morales-Ruiz, Sonia L. Rueda, Maria-Angeles Zurro
This work is a galoisian study of the spectral problem , for algebro-geometric second order differential operators , with coefficients in a differential field, whose fiel…