Bruin, N. and Flynn, E. V. (2004) Rational divisors in rational divisor classes. In: Algorithmic Number Theory. Lecture Notes in Computer Science, 3076 . Springer, Berlin, Germany, pp. 132139. ISBN 3540221565

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Abstract
We discuss the situation where a curve C, defined over a number field K, has a known Krational divisor class of degree 1, and consider whether this class contains an actual Krational 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 does not have points everywhere locally, and where no such Krational divisor is contained in the Krational divisor class.
Item Type:  Book Section 

Uncontrolled Keywords:  Higher Genus Curves, Jacobians, Divisor Classes. 
Subjects:  A  C > Algebraic geometry H  N > Number theory 
Research Groups:  Number Theory Group 
ID Code:  254 
Deposited By:  E. Victor Flynn 
Deposited On:  12 Jul 2006 
Last Modified:  29 May 2015 18:18 
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