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arXiv:math/0607515 [math.NT]AbstractReferencesReviewsResources

Jacobians in isogeny classes of abelian surfaces over finite fields

Everett W. Howe, Enric Nart, Christophe Ritzenthaler

Published 2006-07-21, updated 2007-04-04Version 3

We give a complete answer to the question of which polynomials occur as the characteristic polynomials of Frobenius for genus-2 curves over finite fields.

Comments: LaTeX, 38 pages. Intermediate results in Section 13 have been generalized. Minor changes elsewhere
Journal: Ann. Inst. Fourier (Grenoble) 59 (2009) 239-289
Categories: math.NT, math.AG
Subjects: 11G20, 14G10, 14G15
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