论文标题
Markoff型立方体不可或缺的积分的Brauer-Manin障碍物
Brauer-Manin obstruction for integral points on Markoff-type cubic surfaces
论文作者
论文摘要
在[GS22]，[LM20]和[CWX20]之后，我们研究了在类似的Markoff型立方表面上积分点的Brauer-Manin障碍物。特别是，我们构建了一个反示例的家族，以通过Brauer-Manin障碍物来解释，其计数与[LM20]和[CWX20]中的相似性质相似。我们还为整体原理提供了一些反示例，这些原则无法通过（代数）brauer-manin障碍物来解释。
Following [GS22], [LM20] and [CWX20], we study the Brauer-Manin obstruction for integral points on similar Markoff-type cubic surfaces. In particular, we construct a family of counterexamples to strong approximation which can be explained by the Brauer-Manin obstruction with some counting results of similar nature to those in [LM20] and [CWX20]. We also give some counterexamples to the integral Hasse principle which cannot be explained by the (algebraic) Brauer-Manin obstruction.
