关于曲面上点Hilbert概形的动子
代数几何
2007-05-23 v3
摘要
我们在概形范畴的Grothendieck群中确定了曲面上点Hilbert概形的类。作为推论，我们得到了它在动子（motives）的Grothendieck群中的类。我们给出了一些在曲面层模空间上的应用。本文与de Cataldo和Migliorini的math/0005249相关。
关键词
引用
@article{arxiv.math/0007043,
title = {On the motive of the Hilbert scheme of points on a surface},
author = {Lothar Goettsche},
journal= {arXiv preprint arXiv:math/0007043},
year = {2007}
}
备注
15 pages, Latex. The paper is the same as yesterdays revised version. Only these comments are corrected. The first version of the paper contained a wrong proof that the class of a motive in the Grothendieck group of motives determines its Chow groups with rational coefficients. The mistake was pointed out by B. Totaro. We include a proof also due to B. Totaro that the above statement follows from a conjecture of Beilinson and Murre