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- W1569704481 abstract "The Brauer-Manin obstruction is used to explain the failure of the local-global principle for algebraic varieties. In 1999 Skorobogatov gave the first example of a variety that does not satisfy the local-global principle which is not explained by the Brauer-Manin obstruction. He did so by applying the Brauer-Manin obstruction to 'etale covers of the variety, and thus defining a finer obstruction. In 2008 Poonen gave the first example of failure of the local-global principle which cannot be explained for by Skorobogatov's 'etale-Brauer obstruction. However, Poonen's construction was not accompanied by a definition of a new finer obstruction. In this paper I shall present a possible definition for such an obstruction by allowing to apply the Brauer-Manin obstruction to some ramified covers as well, and show that this new obstruction can explain Poonen counterexample in the case of a totally imaginary number field." @default.
- W1569704481 created "2016-06-24" @default.
- W1569704481 creator A5048927306 @default.
- W1569704481 date "2009-11-30" @default.
- W1569704481 modified "2023-09-27" @default.
- W1569704481 title "On the Brauer-Manin Obstruction Applied to Ramified Covers" @default.
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