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<p>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.</p>

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PERIODIC FUNCTIONS, TOROIDAL GROUPS, GENERALIZED JACOBIANS, AND FRACTIONAL IDEALS OF NON-TOTALLY REAL NUMBER FIELDS

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  • 发表日期：

    2025年2月19日

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  • Alessandro Dioguardi Burgio,
  • Giovanni Falcone

摘要

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.