Integral points for groups of multiplicative type |
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| Institution: | 1. Academy of Mathematics and System Science, CAS, Beijing 100190, PR China;2. Mathematisches Institute, Ludwig-Maximilians-Universität München, Theresienstr. 39, 80333 München, Germany;3. School of Mathematics, Capital Normal University, Beijing 100048, PR China |
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| Abstract: | We construct a finite subgroup of Brauer–Manin obstruction for detecting the existence of integral points on integral models of homogeneous spaces of linear algebraic groups of multiplicative type. As an application, the strong approximation theorem for linear algebraic groups of multiplicative type is established. Moreover, the sum of two integral squares over some quadratic fields is discussed. |
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