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Integral operators and integral cohomology classes of Hilbert schemes

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arxiv math/0405600 v2 pith:W3HLTBWO submitted 2004-05-31 math.AG math.QA

Integral operators and integral cohomology classes of Hilbert schemes

classification math.AG math.QA
keywords integralcohomologyhilbertschemessurfacesoperatorspointsbases
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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).

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