The Fields of Moduli for Polarized Abelian Varieties and for Curves

DOI10.1017/S0027763000015063zbMath0246.14006OpenAlexW1521124803MaRDI QIDQ5658175

Shoji Koizumi

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1017/s0027763000015063

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Algebraic moduli of abelian varieties, classification (14K10)

Related Items (28)

Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects ⋮ p-Groups acting on Riemann surfaces ⋮ Unnamed Item ⋮ Rational points of quiver moduli spaces ⋮ On large prime actions on Riemann surfaces ⋮ A remark on the field of moduli of Riemann surfaces ⋮ The topology of conjugate varieties ⋮ Fields of moduli of some special curves ⋮ Fields of moduli and fields of definition of odd signature curves ⋮ Quadrangular \(\mathbb{Z}_p^l\)-actions on Riemann surfaces ⋮ Principally polarized squares of elliptic curves with field of moduli equal to \(\mathbb{Q}\) ⋮ Regular dessins d'enfants with field of moduli Q(p√2) ⋮ The ring of algebraic correspondences on a generic curve of genus g ⋮ A TOWER OF RIEMANN SURFACES WHICH CANNOT BE DEFINED OVER THEIR FIELD OF MODULI ⋮ On the dynamics of n-circle inversion ⋮ Riemann surfaces defined over the reals ⋮ Unnamed Item ⋮ The coincidence of fields of moduli for non-hyperelliptic curves and for their jacobian varieties ⋮ On the field of moduli of superelliptic curves ⋮ Geometry of algebraic varieties ⋮ Plane quartics over $\mathbb {Q}$ with complex multiplication ⋮ Unnamed Item ⋮ The field of moduli of singular \(K3\) surfaces ⋮ On the fields of rationality for curves and for their jacobian varieties ⋮ Weil’s Galois descent theorem from a computational point of view ⋮ On the connectivity of the branch and real locus of \(\mathcal{M}_{0,[n+1}\)] ⋮ On real and pseudo-real rational maps ^* ⋮ Field of moduli of generalized Fermat curves of type \((k, 3)\) with an application to non-hyperelliptic dessins d'enfants

Cites Work

• Unnamed Item
• Moduli and fibre systems of abelian varieties
• The Criteria for Algebraic Equivalence and the Torsion Group
• Polarized Varieties, Fields of Moduli and Generalized Kummer Varieties of Polarized Abelian Varieties

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