Low-degree points on Hurwitz-Klein curves

Tzermias, Pavlos

doi:10.1090/S0002-9947-03-03454-8

Low-degree points on Hurwitz-Klein curves
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by Pavlos Tzermias

Trans. Amer. Math. Soc. 356 (2004), 939-951

DOI: https://doi.org/10.1090/S0002-9947-03-03454-8

Published electronically: October 8, 2003

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Abstract:

We investigate low-degree points on the Fermat curve of degree 13, the Snyder quintic curve and the Klein quartic curve. We compute all quadratic points on these curves and use Coleman’s effective Chabauty method to obtain bounds for the number of cubic points on each of the former two curves.

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