23 citations · 180 across the 35 of their papers we have counts for
3 papers · 1 filter
On rationality of the intersection points of a line with a plane quartic
Roger Oyono, Christophe Ritzenthaler
We study the rationality of the intersection points of certain lines and smooth plane quartics C defined over F_q. For q \geq 127, we prove the existence of a line such that the in…
Genus bounds for curves with fixed Frobenius eigenvalues
Noam D. Elkies, Everett W. Howe, Christophe Ritzenthaler
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…
Jacobians among abelian threefolds: a geometric approach
Arnaud Beauville, Christophe Ritzenthaler
Let A be a principally polarized abelian threefold over a perfect field k, not isomorphic to a product over the algebraic closure of k. There exists a canonical extension k' of k,…