论文标题
通用多项式用于投影曲线的割线计数
Universal polynomials for counts of secant planes to projective curves
论文作者
论文摘要
在本文中，我们提供了另一种方法，以获取向投影曲线产生叶平面计数的明确公式。我们根据曲线的对称产物的Segre类别来提出问题，并利用Ellingsrud，Göttsche的结果，以及Lehn关于在Hilbert themes of Points of Points of Points of Points the Chern bunderogical捆绑中多种方面的积分的结构。我们使用它来设置递归，从易于计算的案例开始。
In this article we provide another method for obtaining explicit formulas yielding counts of secant planes to a projective curve. We formulate the problem in terms of Segre classes of suitable bundles over the symmetric product of the curve and take advantage of the result of Ellingsrud, Göttsche, and Lehn concerning the structure of integrals of polynomials in Chern classes of tautological bundles over Hilbert schemes of points. We use this to set up a recursion starting from the easy to compute case of the projective line.
