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- W4299542004 abstract "Given a curve $C$ over a field $K$, the period of $C/K$ is the gcd of degrees of $K$-rational divisor classes, while the index is the gcd of degrees of $K$-rational divisors. S. Lichtenbaum showed that the period and index must satisfy certain divisibility conditions. For given admissible period, index, and genus, we show that there exists a curve $C$ and a number field $K$ with these desired invariants, as long as the index is not divisible by $4$." @default.
- W4299542004 created "2022-10-02" @default.
- W4299542004 creator A5011971905 @default.
- W4299542004 date "2015-10-09" @default.
- W4299542004 modified "2023-10-07" @default.
- W4299542004 title "Period and index for higher genus curves" @default.
- W4299542004 doi "https://doi.org/10.48550/arxiv.1510.02839" @default.
- W4299542004 hasPublicationYear "2015" @default.
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