The \(a\)-numbers of non-hyperelliptic curves of genus 3 with cyclic automorphism group of order 6

DOI10.4064/AA231014-27-5MaRDI QIDQ6653255

Shushi Harashita, Ryo Ohashi, Momonari Kudo

Publication date: 16 December 2024

Published in: Acta Arithmetica (Search for Journal in Brave)

zbMATH Keywords

hypergeometric seriesalgebraic curvescanonical curvesHasse-Witt matrixgenus-3 curves

Mathematics Subject Classification ID

Plane and space curves (14H50) Special algebraic curves and curves of low genus (14H45) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

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• Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields
• CLASS NUMBER OF A DEFINITE QUATERNION WITH PRIM DISCRIMINANT
• Slopes of powers of Frobenius on crystalline cohomology
• Newton Polygon Stratification of the Torelli Locus in Unitary Shimura Varieties

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