Higher cycles on the moduli space of stable curves
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- Ohba Kiyoshi OHBA Kiyoshi
- Department of Mathematics Faculty of Science Ochanomizu University
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著者
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- Ohba Kiyoshi OHBA Kiyoshi
- Department of Mathematics Faculty of Science Ochanomizu University
抄録
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.
収録刊行物
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 52(2), 231-267, 2000-04
The Mathematical Society of Japan
参考文献: 10件中 1-10件 を表示
-
1
- <no title>
-
ABIKOFF W.
Topics in the Real Analytic Theory of Teichmuller Space, 1980
被引用文献1件
-
2
- Some remarks on Teichmuller's space of Riemann surfaces
-
AHLFORS L. V.
Ann.of Math. 74, 171-191, 1961
被引用文献2件
-
3
- <no title>
-
ASH A. et al.
Smooth Compactification of Locally Symmetric Varieties, 1975
被引用文献1件
-
4
- Spaces of Degenerating Riemann surfaces
-
BERS L.
Ann.of Math.Studies 79, 43-55, 1974
被引用文献1件
-
5
- The second homology group of the mapping class group of an orientable surface
-
HARER J.
Invent.Math. 72, 221-239, 1982
被引用文献1件
-
6
- The irreducibility of the space of curves of given genus
-
DELIGNE P.
Publ. Math. IHES 36, 75-109, 1969
DOI 被引用文献5件
-
7
- Chow rings of moduli spaces of curves
-
FABER C.
Ann.of Math. 132, 331-449, 1990
DOI 被引用文献1件
-
8
- Local classification of quotients of complex manifolds by discontinuous groups
-
PRILL D.
Duke Math. J. 34, 375-386, 1967
DOI 被引用文献2件
-
9
- On a generalization of the notion of manifold
-
SATAKE I.
Proc.N.A.S. 42, 359-363, 1956
DOI 被引用文献1件
-
10
- On the homology of the moduli space of stable curves
-
WOLPERT S.
Ann.of Math. 118, 491-523, 1983
DOI 被引用文献1件