INMABB 05456
INSTITUTO DE MATEMATICA BAHIA BLANCA
Unidad Ejecutora - UE
artículos
Título:
On Rosenhein-Göpel Configurations and Integrable Systems
Autor/es:
LUIS PIOVAN
Revista:
REGULARNAA I HAOTICESKAA DINAMIKA
Editorial:
MAIK NAUKA/INTERPERIODICA/SPRINGER
Referencias:
Lugar: Kiev; Año: 2011 vol. 16 p. 210 - 222
ISSN:
1560-3547
Resumen:
We give a birational morphism between two types of genus 2 Jacobians in ℙ15. One of them is related to an Algebraic Completely Integrable System: the Geodesic Flow on SO(4), metric II (so termed after Adler and van Moerbeke). The other Jacobian is related to a linear system in |4Θ| with 12 base points coming from a Göpel tetrad of 4 translates of the Θ divisor. A correspondence is given on the base spaces so that the Poisson structure of the SO(4) system can be pulled back to the family of Göpel Jacobians.
