Period and index of genus one curves over number fields

Details Period and index of genus one curves over number fields Period and index of genus one curves over number fields

2008-10-31

arxiv.org/abs/0810.5760v1

Mathematics

Number Theory

16 pages

Scientific paper

The period of a curve is the smallest positive degree of Galois-invariant
divisor classes. The index is the smallest positive degree of rational
divisors. We construct examples of genus one curves with prescribed period and
index over certain number fields.

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