Flynn, E. V. (2004) The Hasse principle and the BrauerManin obstruction for curves. Manuscripta Mathematica, 115 . pp. 437466. ISSN 00252611

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Abstract
We discuss a range of ways, extending existing methods, to demonstrate violations of the Hasse principle on curves. Of particular interest are curves which contain a rational divisor class of degree 1, even though they contain no rational point. For such curves we construct new types of examples of violations of the Hasse principle which are due to the BrauerManin obstruction, subject to the conjecture that the TateShafarevich group of the Jacobian is finite.
Item Type:  Article 

Uncontrolled Keywords:  Hasse Principle, Jacobians, BrauerManin Obstruction 
Subjects:  A  C > Algebraic geometry H  N > Number theory 
Research Groups:  Number Theory Group 
ID Code:  253 
Deposited By:  E. Victor Flynn 
Deposited On:  12 Jul 2006 
Last Modified:  29 May 2015 18:18 
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