On Rosenhein-Göpel configurations and integrable systems

Piovan, Luis Amadeo · SP MAIK Nauka/Interperiodica · 2011

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Author / responsible party

Piovan, Luis Amadeo

Publisher

SP MAIK Nauka/Interperiodica

Year

2011

ISSN

1560-3547

ISSN

1560-3547

Language

English

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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. Fil: Piovan, Luis Amadeo. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina

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APA 7

Piovan, L. A. (2011). On Rosenhein-Göpel configurations and integrable systems. http://hdl.handle.net/11336/15468

MLA

Piovan, Luis Amadeo. "On Rosenhein-Göpel configurations and integrable systems." 2011. http://hdl.handle.net/11336/15468.

Chicago

Piovan, Luis Amadeo. 2011. "On Rosenhein-Göpel configurations and integrable systems.". http://hdl.handle.net/11336/15468.

Harvard

Piovan, L. A. 2011, On Rosenhein-Göpel configurations and integrable systems, SP MAIK Nauka/Interperiodica, available at: http://hdl.handle.net/11336/15468 [Accessed 7 Aug. 2026].

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Title: On Rosenhein-Göpel configurations and integrable systems

Author / contributors: Piovan, Luis Amadeo

Publisher: SP MAIK Nauka/Interperiodica

Publication year: 2011

ISSN: 1560-3547

ISSN: 1560-3547

Language: English

Subjects

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Rosenhein Göpel; Integrable Systems; https://purl.org/becyt/ford/1.1; https://purl.org/becyt/ford/1