Higher cycles on the moduli space of stable curves

被引：0

作者：

Ohba, K ^{[1
]}

机构：

[1] Ochanomizu Univ, Fac Sci, Dept Math, Bunkyo Ku, Tokyo 1128610, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2000年 / 52卷 / 02期

关键词：

moduli; stable curve; analytic cycle; Betti number;

D O I：

10.2969/jmsj/05220231

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a number of analytic cycles on the moduli space of stable curves by using three moduli spaces: the moduli space of tori with one marked point, that of spheres with four marked points, and that of tori with two marked points. We then prove the linear independence of the cycles in the rational homology groups in order to improve Wolpert's estimates for even degree Betti numbers of the moduli space of stable curves.

引用

页码：231 / 267

页数：37

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