Lifting curves over finite fields together with the characteristic correspondence Pi+Pi'

DOI10.1016/0021-8693(82)90051-5zbMath0508.14019OpenAlexW2028692323MaRDI QIDQ1837736

Yasutaka Ihara

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90051-5

zbMATH Keywords

liftingdivisorShimura curveslocal deformationsFrobeniusWitt- vectors

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Families, moduli of curves (algebraic) (14H10) Finite ground fields in algebraic geometry (14G15) Divisors, linear systems, invertible sheaves (14C20) Formal methods and deformations in algebraic geometry (14D15) Local deformation theory, Artin approximation, etc. (14B12)

Related Items

A theory of ordinary \(p\)-adic curves ⋮ On congruence relations and equations of Shimura curves ⋮ Lifting curves over finite fields together with the characteristic correspondence Pi+Pi' ⋮ Congruence relations and fundamental groups ⋮ On the liftings of the Frobenius correspondences of algebraic curves of genus two over finite fields

Cites Work

• Lifting curves over finite fields together with the characteristic correspondence Pi+Pi'
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