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Rational divisors in rational divisor classes

Abstract:

We discuss the situation where a curve C, defined over a number field K, has a known K-rational divisor class of degree 1, and consider whether this class contains an actual K-rational divisor. When C has points everywhere locally, the local to global principle of the Brauer group gives the existence of such a divisor. In this situation, we give an alternative, more down to earth, approach, which indicates how to compute this divisor in certain situations. We also discuss examples where C doe...

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Publication date:
2004-01-01
URN:
uuid:d77e06a9-1366-4966-8e5c-caa404d8673f
Local pid:
oai:eprints.maths.ox.ac.uk:254

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