Seminars

Strong approximation with Brauer-Manin obstruction for toric varieties

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Fei Xu

2015-01-16
14:00:00 - 15:00:00

103 , Mathematics Research Center Building (ori. New Math. Bldg.)



One of the method for proving the existence of integral point through local-global principle is to establish strong approximation. It is Manin\'s idea to refine the classical strong approximation to strong approximation with Brauer-Manin obstruction by using class field theory. One can further show the existence integral points by using Artin reciprocity law. In this talk, we will explain that strong approximation with Brauer-Manin obstruction for smooth toric varieties holds. Some explicit examples will be provided.