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Generic hyperelliptic Prym varieties and separation of variables in some algebraic integrable systems.

Fedorov, Y.
Tipus d'activitat
Presentació treball a congrés
Nom de l'edició
Fifth International Conference and School Geometry, Dynamics, Integrable Systems
Any de l'edició
Data de presentació
Many algebraic integrable systems possess matrix Lax representations whose spectral curves admit involutions. The Jacobians of the curves contain Abelian (Prym) subvarieties whose open subsets are identified with the complex invariant manifolds of the systems. It is known that if the spectral curve S is a 2-fold covering of a hyperelliptic curve ramified at two points, then the Jacobain of S contains a hyperelliptic Prym variety. Recently this variety was given an explicit algebraic descript...
Paraules clau
Algebraic integrable systems, Prym varieties, separation of variables, spectral curves
Grup de recerca
SD - Sistemes Dinàmics de la UPC