On the arithmetic of simple singularities of type E.
On the arithmetic of simple singularities of type E.
复制标题
关于E型简单奇点的算术。
DOI：
10.1007/s40993-018-0110-5
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发表时间：
2018
影响因子：
0.8
通讯作者：
Romano B
中科院分区：
文献类型：
--
作者：
Romano B
ADE动态图产生一族代数曲线族。本文利用算术不变量理论研究了与例外图有关的曲线的积分点。这些曲线是亏格为3或4的非超椭圆曲线。我们证明了每一族的正比例曲线由局部处处有积分点而全局没有积分点的曲线组成。
An ADE Dynkin diagram gives rise to a family of algebraic curves. In this paper, we use arithmetic invariant theory to study the integral points of the curves associated to the exceptional diagrams,. These curves are non-hyperelliptic of genus 3 or 4. We prove that a positive proportion of each family consists of curves with integral points everywhere locally but no integral points globally.