Flynn, E. V. (2004) *The Hasse principle and the Brauer-Manin obstruction for curves.* Manuscripta Mathematica, 115 . pp. 437-466. ISSN 0025-2611

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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 Brauer-Manin obstruction, subject to the conjecture that the Tate-Shafarevich group of the Jacobian is finite.

Item Type: | Article |
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Uncontrolled Keywords: | Hasse Principle, Jacobians, Brauer-Manin 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: | 20 Jul 2009 14:19 |

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