Algorithmic Number Theory

Volume 1122 of the series Lecture Notes in Computer Science pp 283-306


Computational aspects of curves of genus at least 2

  • Bjorn PoonenAffiliated withDepartment of Mathematics, Princeton University

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This survey discusses algorithms and explicit calculations for curves of genus at least 2 and their Jacobians, mainly over number fields and finite fields. Miscellaneous examples and a list of possible future projects are given at the end.