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- W1569472519 abstract "Throughout the paper, a scheme means a noetherian scheme. By a curve C over a scheme S of genus g , we mean a proper and smooth S -scheme with irreducible curves of genus g as geometric fibres. In the previous paper [15], the author showed that the field of moduli for a non-hyperelliptic curve over a field coincides with the one for its canonically polarized jacobian variety, and in [16], he gave a partial result on the coincidence of the fields of rationality for a hyperelliptic curve and for its canonically polarized jacobian variety. In the present paper, we will discuss the isomorphy of the isomorphism schemes of two curves over a scheme and of their canonically polarized jacobian schemes, by using Oort-Steenbrink’s result [12]." @default.
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- W1569472519 date "1982-12-01" @default.
- W1569472519 modified "2023-09-26" @default.
- W1569472519 title "On the fields of rationality for curves and for their jacobian varieties" @default.
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- W1569472519 doi "https://doi.org/10.1017/s0027763000020171" @default.
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