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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 do...

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Publication status:
Published

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Publisher copy:
10.1007/978-3-540-24847-7_9

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author

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Role:
Editor
Publisher:
Springer Publisher's website
Volume:
3076
Pages:
132-139
Publication date:
2004-01-01
DOI:
EISSN:
1611-3349
ISSN:
0302-9743
URN:
uuid:58bdc51b-d1f4-41a4-9b87-c5a2c8029ca8
Source identifiers:
31095
Local pid:
pubs:31095
ISBN:
3-540-22156-5
Keywords:

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