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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(e) ISSN 0025-5718(p)

     

$ p^k$-torsion of genus two curves over $ \mathbb{F}_{p^m}$

Author(s): Michael E. Zieve.
Journal: Math. Comp. 79 (2010), 1833-1838.
MSC (2010): Primary 14H40
Posted: January 14, 2010
MathSciNet review: 2630016
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: We determine the isogeny classes of abelian surfaces over $ \mathbb{F}_q$ whose group of $ \mathbb{F}_q$-rational points has order divisible by $ q^2$. We also solve the same problem for Jacobians of genus-$ 2$ curves.


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Additional Information:

Michael E. Zieve
Affiliation: Department of Mathematics, Hill Center-Busch Campus, Rutgers, The State University of New Jersey, 110 Frelinghuysen Road, Piscataway, New Jersey 08854-8019
Address at time of publication: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1043
Email: zieve@umich.edu

DOI: 10.1090/S0025-5718-10-02305-7
PII: S 0025-5718(10)02305-7
Received by editor(s): May 29, 2007
Received by editor(s) in revised form: August 30, 2008
Posted: January 14, 2010
Copyright of article: Copyright 2010, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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