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Generating series of intersection numbers on Hilbert schemes of points

Generating series of intersection numbers on Hilbert schemes of points
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摘要 We compute some tautological bundles on Hilbert the intersection numbers of two generating series of integrals related to schemes of points on surfaces SIn], including Chern classes of tautological bundles, and the Euler characteristics of Α_yTS[n]. We also propose some related conjectures, including an equivariant version of Lehn's conjecture. We compute some tautological bundles on Hilbert the intersection numbers of two generating series of integrals related to schemes of points on surfaces SIn], including Chern classes of tautological bundles, and the Euler characteristics of Α_yTS[n]. We also propose some related conjectures, including an equivariant version of Lehn's conjecture.
出处 《Frontiers of Mathematics in China》 SCIE CSCD 2017年第5期1247-1264,共18页 中国高等学校学术文摘·数学(英文)
基金 The second author was partially supported by the National Natural Science Foundation of China (Grant No. 11171174).
关键词 Hilbert scheme tautological sheaf intersection number Hilbert scheme, tautological sheaf, intersection number
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  • 4James B. Carrell,David I. Lieberman. Holomorphic vector fields and Kaehler manifolds[J] 1973,Inventiones Mathematicae(4):303~309

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