论文标题
椭圆表面和希尔伯特物业的大型行列跳跃
Large rank jumps on elliptic surfaces and the Hilbert property
论文作者
论文摘要
鉴于在数字场上的理性椭圆表面，我们研究了纤维的收集，其莫德尔（Mordell） - 韦尔（Mordell）等级大于通用等级。我们给出奇异纤维的条件，以确保纤维的收集至少3个并不薄。
Given a rational elliptic surface over a number field, we study the collection of fibers whose Mordell--Weil rank is greater than the generic rank. We give conditions on the singular fibers to assure that the collection of fibers for which the rank jumps of at least 3 is not thin.
