In this thesis, we study the Hasse principle for curves and K3 surfaces. We give several sufficient conditions under which the Brauer-Manin obstruction is the only obstruction to the Hasse principle for curves and K3 surfaces. Using these sufficient conditions, we construct several infinite families of curves and K3 surfaces such that these families are counterexamples to the Hasse principle that are explained by the Brauer-Manin obstruction.
| Identifer | oai:union.ndltd.org:arizona.edu/oai:arizona.openrepository.com:10150/238653 |
| Date | January 2012 |
| Creators | Nguyen, Dong Quan Ngoc |
| Contributors | Sharifi, Romyar T., Sharifi, Romyar T., Cais, Bryden R., Madden, Daniel, McCallum, William G. |
| Publisher | The University of Arizona. |
| Source Sets | University of Arizona |
| Language | English |
| Detected Language | English |
| Type | text, Electronic Dissertation |
| Rights | Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author. |
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