Open Access
April, 2000 Higher cycles on the moduli space of stable curves
Kiyoshi OHBA
J. Math. Soc. Japan 52(2): 231-267 (April, 2000). DOI: 10.2969/jmsj/05220231

Abstract

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.

Citation

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Kiyoshi OHBA. "Higher cycles on the moduli space of stable curves." J. Math. Soc. Japan 52 (2) 231 - 267, April, 2000. https://doi.org/10.2969/jmsj/05220231

Information

Published: April, 2000
First available in Project Euclid: 10 June 2008

zbMATH: 0966.32010
MathSciNet: MR1742243
Digital Object Identifier: 10.2969/jmsj/05220231

Subjects:
Primary: 32G15
Secondary: 14H15

Keywords: analytic cycle , Betti number , moduli , stable curve

Rights: Copyright © 2000 Mathematical Society of Japan

Vol.52 • No. 2 • April, 2000
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