On the Jacobian variety of the Fermat curve

DOI10.1016/0021-8693(80)90236-7zbMath0437.14015OpenAlexW2045638664MaRDI QIDQ1141199

Noriko Yui

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90236-7

zbMATH Keywords

Fermat surfacesFermat curve over a finite fieldisogeny class of the p-divisible groupp-adic absolute values of eigenvalues of Frobeniussupersingular Fermat curves

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Jacobians, Prym varieties (14H40) Formal groups, (p)-divisible groups (14L05)

Related Items (18)

On the Dickson-Guralnick-Zieve curve ⋮ The Chevalley-Weil formula for orbifold curves ⋮ Hasse-Witt matrices for the Fermat curves of prime degree ⋮ The \(a\)-numbers of Fermat and Hurwitz curves ⋮ A characterization of maximal and minimal Fermat curves ⋮ On the connected part of the covariant Tate p-divisible group and the \(\zeta\)-function of the family of hyperelliptic curves \(y^ 2=1+\mu x^ N\) modulo various primes ⋮ Newton Polygons of Cyclic Covers of the Projective Line Branched at Three Points ⋮ On diagonal equations over finite fields ⋮ Generically ordinary fibrations and a counterexample to Parshin's conjecture ⋮ Bad Reduction of Genus Three Curves with Complex Multiplication ⋮ The supersingularity of Hurwitz curves ⋮ On \(BT_1\) group schemes and Fermat curves ⋮ Reduction and lifting of special metacyclic covers ⋮ Hasse–Witt and Cartier–Manin matrices: A warning and a request ⋮ The density of supersingular Fermat varieties ⋮ The asymptotic density of supersingular Fermat varieties ⋮ A note on some Picard curves over finite fields ⋮ Every $BT_1$ group scheme appears in a Jacobian

Cites Work

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• Endomorphisms of Abelian varieties over finite fields
• Isogeny classes of abelian varieties over finite fields
• Lectures on \(p\)-divisible groups
• Formal groups arising from algebraic varieties
• THE THEORY OF COMMUTATIVE FORMAL GROUPS OVER FIELDS OF FINITE CHARACTERISTIC
• The Hasse-Witt matrix of an algebraic curve
• The first de Rham cohomology group and Dieudonné modules
• Abelian varieties over finite fields
• Numbers of solutions of equations in finite fields
• Jacobi Sums as "Grossencharaktere"

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