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Transactions of the American Mathematical Society
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Low-degree points on Hurwitz-Klein curves

Author(s): Pavlos Tzermias
Journal: Trans. Amer. Math. Soc. 356 (2004), 939-951.
MSC (2000): Primary 11G30, 14H25; Secondary 11G10, 14G05
Posted: 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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Additional Information:

Pavlos Tzermias
Affiliation: Department of Mathematics, University of Tennessee, Knoxville, Tennessee 37996-1300
Email: tzermias@math.utk.edu

DOI: 10.1090/S0002-9947-03-03454-8
PII: S 0002-9947(03)03454-8
Keywords: Hurwitz-Klein curves, Fermat curves, low-degree points
Received by editor(s): January 31, 2001
Received by editor(s) in revised form: August 1, 2001 and May 31, 2002
Posted: October 8, 2003
Copyright of article: Copyright 2003, American Mathematical Society


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