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arxiv: 1410.8398 · v2 · pith:M2EXO7WNnew · submitted 2014-10-30 · 🧮 math.AG

Computing Cup-Products in integral cohomology of Hilbert schemes of points on K3 surfaces

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keywords cohomologyhilbertintegralpointsproductsclassescomputercomputing
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We study cup products in integral cohomology of the Hilbert scheme of $n$ points on a K3 surface and present a computer program for this purpose. In particular, we deal with the question, which classes can be represented by products of lower degrees.

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