On the fields of rationality for curves and for their jacobian varieties

DOI10.1017/S0027763000020171zbMath0473.14012OpenAlexW1569472519MaRDI QIDQ3927346

Tsutomu Sekiguchi

Publication date: 1982

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000020171

zbMATH Keywords

abelian varietyfield of moduli for a curveisomorphism schemes for curvespolarized jacobian varieties

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Algebraic moduli problems, moduli of vector bundles (14D20) Jacobians, Prym varieties (14H40) Algebraic moduli of abelian varieties, classification (14K10)

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Arithmetical Torelli theorems for K3 surfaces and for curves ⋮ On large prime actions on Riemann surfaces ⋮ Thetanullwerte on a moduli space of curves and hyperelliptic loci ⋮ Unnamed Item ⋮ Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group

Cites Work

• Automorphisms of prime order of curves
• The irreducibility of the space of curves of a given genus
• The coincidence of fields of moduli for non-hyperelliptic curves and for their jacobian varieties
• The Fields of Moduli for Polarized Abelian Varieties and for Curves
• On a Theorem of Torelli