Hasse-Witt matrices for the Fermat curves of prime degree

DOI10.2748/tmj/1178225144zbMath0894.14010OpenAlexW2010309257MaRDI QIDQ1365337

Josep González

Publication date: 28 August 1997

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225144

zbMATH Keywords

function fieldcharacteristic \(p\)hyperelliptic curvesFermat curvesHasse-Witt invariant

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Finite ground fields in algebraic geometry (14G15) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (8)

Computing representation matrices for the action of Frobenius on cohomology groups ⋮ The $a$-number of jacobians of certain maximal curves ⋮ The p-rank of the reduction mod p of Jacobians and Jacobi sums ⋮ The \(a\)-numbers of Fermat and Hurwitz curves ⋮ The existence of supersingular curves of genus 4 in arbitrary characteristic ⋮ Newton Polygons of Cyclic Covers of the Projective Line Branched at Three Points ⋮ The rank of the Cartier operator on certain \(F_q^2\)-maximal function fields ⋮ Computing Hasse–Witt matrices of hyperelliptic curves in average polynomial time

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Fermat varieties
• Repartitions on abelian varieties
• Arithmetik Abelscher Varietäten mit komplexer Multiplikation
• On certain arithmetical invariants of Fermat varieties
• On the Jacobian variety of the Fermat curve
• On Hasse-Witt matrices of Fermat varieties
• THE THEORY OF COMMUTATIVE FORMAL GROUPS OVER FIELDS OF FINITE CHARACTERISTIC
• On the theory of abelian varieties over a field of finite characteristic
• Zyklische unverzweigte Erweiterungskörper vom Primzahlgradep über einem algebraischen Funktionenkörper der Charakteristikp

This page was built for publication: Hasse-Witt matrices for the Fermat curves of prime degree