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The arithmetic of certain quartic curves |
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| Authors: | Nguyen Ngoc Dong Quan |
| Affiliation: | 1. Department of Mathematics, The University of Arizona, Tucson, AZ, 85721, USA |
| Abstract: | We give a sufficient condition using the Brauer?CManin obstruction under which certain quartic curves have no rational points. Using this sufficient condition, we construct two families of genus one quartic curves violating the Hasse principle explained by the Brauer?CManin obstruction. |
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