On the liftings of the Frobenius correspondences of algebraic curves of genus two over finite fields

DOI10.1016/0021-8693(83)90229-6zbMath0518.14014OpenAlexW1995226208MaRDI QIDQ1053760

Yoshihiro Furukawa

Publication date: 1983

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90229-6

zbMATH Keywords

liftingFrobenius correspondencealgebraic curve of genus twoCartier operation

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Families, moduli of curves (algebraic) (14H10) Finite ground fields in algebraic geometry (14G15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Abelian varieties over fields of positive characteristic
• Lifting curves over finite fields together with the characteristic correspondence Pi+Pi'
• Congruence relations and fundamental groups
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Arithmetic variety of moduli for genus two
• On the theory of abelian varieties over a field of finite characteristic
• Geometric structure of the cohomology rings in abstract algebraic geometry