Fiber products and class groups of hyperelliptic curves
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- by Jeffrey D. Achter PDF
- Proc. Amer. Math. Soc. 138 (2010), 3159-3161 Request permission
Abstract:
Let $\mathbb {F}_q$ be a finite field of odd characteristic, and let $N$ be an odd natural number. An explicit fiber product construction shows that if $N$ divides the class number of some quadratic function field over $\mathbb {F}_q$, then it does so for infinitely many such function fields.References
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Additional Information
- Jeffrey D. Achter
- Affiliation: Department of Mathematics, Colorado State University, Fort Collins, Colorado 80523
- MR Author ID: 690384
- Email: j.achter@colostate.edu
- Received by editor(s): December 18, 2009
- Published electronically: April 21, 2010
- Additional Notes: The author was partially supported by NSA grant H98230-08-1-0051.
- Communicated by: Ken Ono
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 3159-3161
- MSC (2010): Primary 11R58; Secondary 11R29, 14H05
- DOI: https://doi.org/10.1090/S0002-9939-10-10461-4
- MathSciNet review: 2653940