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Mathematische Annalen

, Volume 331, Issue 3, pp 669–692 | Cite as

Integral operators and integral cohomology classes of Hilbert schemes

  • Zhenbo QinEmail author
  • Weiqiang Wang
Article

Abstract.

The methods of integral operators on the cohomology of Hilbert schemes of points on surfaces are developed. They are used to establish integral bases for the cohomology groups of Hilbert schemes of points on a class of surfaces (and conjecturally, for all simply connected surfaces).

Keywords

Integral Operator Cohomology Group Cohomology Class Hilbert Scheme Integral Basis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of MissouriColumbiaUSA
  2. 2.Department of MathematicsUniversity of VirginiaCharlottesvilleUSA

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