- Abstract:
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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...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1007/978-3-540-24847-7_9
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- Publisher:
- Springer Publisher's website
- Volume:
- 3076
- Pages:
- 132-139
- Publication date:
- 2004-01-01
- DOI:
- EISSN:
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1611-3349
- ISSN:
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0302-9743
- URN:
-
uuid:58bdc51b-d1f4-41a4-9b87-c5a2c8029ca8
- Source identifiers:
-
31095
- Local pid:
- pubs:31095
- ISBN:
- 3-540-22156-5
- Keywords:
- Copyright date:
- 2004
Conference
Rational Divisors in Rational Divisor Classes.
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