Nonexistence of Rational Points on Certain Varieties

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...

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Bibliographic Details
Main Author: Nguyen, Dong Quan Ngoc
Other Authors: Sharifi, Romyar T.
Language:en
Published: The University of Arizona. 2012
Subjects:
Online Access:http://hdl.handle.net/10150/238653