Manin Involutions for Elliptic Pencils and Discrete Integrable Systems
Manin Involutions for Elliptic Pencils and Discrete Integrable Systems
Abstract We contribute to the algebraic-geometric study of discrete integrable systems generated by planar birational maps: (a) we find geometric description of Manin involutions for elliptic pencils consisting of curves of higher degree, birationally equivalent to cubic pencils (Halphen pencils of index 1), and (b) we characterize special geometry of …