In this paper, we collect a series of results exposed by the second author in Batumi on the occasion of XIV Annual International Conference of the Georgian Mathematical Union. These results connect the beautiful theory of toroidal groups and non-totally real number fields with that of generalized Jacobians of hyperelliptic curves.
Dioguardi Burgio, A., Falcone, G. (2025). PERIODIC FUNCTIONS, TOROIDAL GROUPS, GENERALIZED JACOBIANS, AND FRACTIONAL IDEALS OF NON-TOTALLY REAL NUMBER FIELDS. JOURNAL OF MATHEMATICAL SCIENCES [10.1007/s10958-025-07572-z].
PERIODIC FUNCTIONS, TOROIDAL GROUPS, GENERALIZED JACOBIANS, AND FRACTIONAL IDEALS OF NON-TOTALLY REAL NUMBER FIELDS
Dioguardi Burgio, Alessandro
;Falcone, Giovanni
2025-02-19
Abstract
In this paper, we collect a series of results exposed by the second author in Batumi on the occasion of XIV Annual International Conference of the Georgian Mathematical Union. These results connect the beautiful theory of toroidal groups and non-totally real number fields with that of generalized Jacobians of hyperelliptic curves.
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