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Euler number of the moduli space of sheaves on a rational nodal curve
Author(s):
Baosen
Wu
Journal:
Proc. Amer. Math. Soc.
132
(2004),
1925-1936.
MSC (2000):
Primary 14D20, 14F05
Posted:
January 26, 2004
MathSciNet review:
2053962
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Abstract:
In this paper, we use finite group actions to compute the Euler number of the moduli space of rank 2 stable sheaves on a rational nodal curve.
References:
-
- 1.
- A. Beauville. Counting rational curves on K3 surfaces. Duke Math. J. 97 (1999), 99-108. MR 2000c:14073
- 2.
- A. Grothendieck. Sur la classification des fibrés holomorphes sur la sphère de Riemann. Amer. J. Math. 79 (1957), 121-138. MR 19:315b
- 3.
- R. Hartshorne. Algebraic Geometry. Graduate Texts in Mathematics, No. 52, Springer-Verlag, New York, 1977. MR 57:3116
- 4.
- D. Huybrechts and M. Lehn. The geometry of moduli spaces of sheaves. Vieweg, Braunschweig, 1997. MR 98g:14012
- 5.
- C. S. Seshadri. Fibrés vectoriels sur les courbes algébriques. Astérisque 96 (1982). MR 85b:14023
- 6.
- C. T. Simpson. Moduli of representations of the fundamental group of a smooth projective variety I. Inst. Hautes Études Sci. Publ. Math. 79 (1994), 47-129. MR 96e:14012
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Additional Information:
Baosen
Wu
Affiliation:
Institute of Mathematics, Fudan University, Shanghai 200433, People's Republic of China
Address at time of publication:
Department of Mathematics, Stanford University, Stanford, CA 94305
Email:
wbaosen@etang.com, bwu@math.stanford.edu
DOI:
10.1090/S0002-9939-04-07415-5
PII:
S 0002-9939(04)07415-5
Keywords:
Moduli space,
Euler number,
group action
Received by editor(s):
November 1, 2001
Received by editor(s) in revised form:
April 17, 2003
Posted:
January 26, 2004
Communicated by:
Michael Stillman
Copyright of article:
Copyright
2004,
American Mathematical Society
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