On the Euler characteristics of certain moduli spaces of 1-dimensional subschemes
Keyword(s):
Generalizing the ideas in [LQ] and using virtual Hodge polynomials as well as torus actions, we compute the Euler characteristics of some moduli spaces of 1-dimensional closed subschemes when the ambient smooth projective variety admits a Zariskilocally trivial fibration to a codimension-1 base. As a consequence, we partially verify a conjecture of W.-P. Li and Qin [LQ]. We also calculate the generating function for the number of certain punctual 3-dimensional partitions, which is used to compute the above Euler characteristics.
Keyword(s):
2010 ◽
Vol 10
(2)
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pp. 225-234
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2001 ◽
Vol 353
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pp. 4405-4427
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2006 ◽
Vol 43
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pp. 1065-1080
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1993 ◽
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pp. 147-158
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1995 ◽
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pp. 183-188
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pp. 1942-1956
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Vol 2019
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pp. 6089-6112