96 citations · 525 across the 27 of their papers we have counts for
29 papers
A new approach to separation of variables for the Clebsch integrable system. Part II: Inversion of the Abel--Prym map
Yu. Fedorov, F. Magri, T. Skrypnyk
This is the second part of a paper describing a new concept of separation of variables applied to the classical Clebsch integrable case. The quadratures obtained in Part I (also up…
A new approach to separation of variables for the Clebsch integrable system. Part I: Reduction to quadratures
Yu. Fedorov, F. Magri, T. Skrypnyk
This is the first part of a two-part paper describing a new concept of separation of variables applied to the Clebsch integrable case of the Kirchhoff equations. There are two prin…
Sigma-function solution to the general Somos-6 recurrence via hyperelliptic Prym varieties
Yuri N. Fedorov, Andrew N. W. Hone
We construct the explicit solution of the initial value problem for sequences generated by the general Somos-6 recurrence relation, in terms of the Kleinian sigma-function of genus…
Continuous and discrete Neumann systems on Stiefel varieties as matrix generalizations of the Jacobi-Mumford systems
Yuri N. Fedorov, Bozidar Jovanovic
We study geometric and algebraic geometric properties of the continuous and discrete Neumann systems on cotangent bundles of Stiefel varieties . The systems are integrable…
Algebraic description of Jacobians isogeneous to certain Prym varieties with polarization (1,2)
V. Z. Enolski, Yu. N. Fedorov
For a class of non-hyperelliptic genus 3 curves C which are 2-fold coverings of elliptic curves E, we give an explicit algebraic description of all birationally non-equivalent genu…
On the construction of elliptic solutions of integrable birational maps
Matteo Petrera, Andreas Pfadler, Yuri B. Suris
We present a systematic technique to find explicit solutions of birational maps, provided that these solutions are given in terms of elliptic functions. The two main ingredients ar…