论文标题
四边形的几何筛
The geometric sieve for quadrics
论文作者
论文摘要
我们开发了Ekedahl的几何筛子的版本,用于至少五个等级的二次形式。随着一个二次形式的零范围的范围,我们使用筛子来计算多项式的副标值的密度,并处理有关Zeros参数参数的品种家族中局部溶解度的问题。
We develop a version of Ekedahl's geometric sieve for integral quadratic forms of rank at least five. As one ranges over the zeros of such quadratic forms, we use the sieve to compute the density of coprime values of polynomials, and furthermore, to address a question about local solubility in families of varieties parameterised by the zeros.