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Algebraic description of Jacobians isogeneous to certain Prym varieties with polarization (1,2)

Autor
Fedorov, Y.; Enolski, V.Z.
Tipus d'activitat
Document cientificotècnic
Data
2014-11
Codi
arXiv:1411.6143
Projecte finançador
DINAMICA ASOCIADA A CONEXIONES ENTRE OBJETOS INVARIANTES. APLICACIONES A
Repositori
http://hdl.handle.net/2117/24994 Obrir en finestra nova
URL
http://arxiv.org/pdf/1411.6143v1 Obrir en finestra nova
Resum
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 genus 2 curves whose Jacobians are degree 2 isogeneous to the Prym varieties associated to such coverings. Our description is based on previous studies of Prym varieties with polarization (1,2) in connection with separation of variables in a series of classical and new algebraic integrable systems linearized on such variet...
Citació
Fedorov, Y.; Enolski, V.Z. "Algebraic description of Jacobians isogeneous to certain Prym varieties with polarization (1,2)". 2014.
Grup de recerca
SD - Sistemes Dinàmics

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