New Trends in Algebraic Geometry: Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians
New Trends in Algebraic Geometry: Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians
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DOI：
10.1017/cbo9780511721540.006
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发表时间：
1997-06
期刊：
影响因子：
--
通讯作者：
C. Faber
中科院分区：
文献类型：
--
作者：
C. Faber
我们描述的算法计算因子的交叉数和陈类的霍奇丛的模空间稳定的尖曲线。我们还讨论了实现和获得的结果。有几种应用。我们特别讨论一个：雅可比轨迹类的阿贝尔簇在模空间重言式环中投影的计算。
We describe algorithms for computing the intersection numbers of divisors and of Chern classes of the Hodge bundle on the moduli spaces of stable pointed curves. We also discuss the implementations and the results obtained. There are several applications. We discuss one in particular: the calculation of the projection in the tautological ring of the moduli space of abelian varieties of the class of the locus of Jacobians.