Curves over finite fields attain the Hallouin-Perret quadratic-extension bound exactly when all real parts of their Frobenius eigenvalues coincide, which yields new coefficient bounds and low-genus classifications.
Sur le nombre des points rationnels d’une courbe alg´ ebrique sur un corps fini
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.AG 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Maximal curves with respect to quadratic extensions over finite fields
Curves over finite fields attain the Hallouin-Perret quadratic-extension bound exactly when all real parts of their Frobenius eigenvalues coincide, which yields new coefficient bounds and low-genus classifications.