Genus bounds for curves with fixed Frobenius eigenvalues

Details Genus bounds for curves with fixed Frobenius eigenvalues Genus bounds for curves with fixed Frobenius eigenvalues

2010-06-04

arxiv.org/abs/1006.0822v2

Mathematics

Number Theory

14 pages. The new version includes new references to papers with related results; also, the main result has been greatly impro

Scientific paper

For every finite collection C of abelian varieties over F_q, we produce an
explicit upper bound on the genus of curves over F_q whose Jacobians are
isogenous to a product of powers of elements of C.

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