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README.md

cyclic_actions

This small program computes (a superset of) all possible faithful actions of a cyclic group on a smooth algebraic curve (Riemann surface) of genus g, given the information on a part of the ramification.

In other words, the program computes all possible cyclic subgroups of Aut(F) for some curve F of genus g. The actual possibilities may be fewer than the ones computed, because the program implements some necessary conditions that are not sufficient.

See [1] for a presentation of the program with some properties.

[1] http://poisson.phc.unipi.it/~maggiolo/index.php/2012/05/all-possible-action-of-a-cyclic-group-on-an-algebraic-curve

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