Intersection theory on punctual Hilbert schemes and graded Hilbert schemes

Mathematics – Representation Theory

Scientific paper

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Scientific paper

The rational Chow ring A?(S[n],Q) of the Hilbert scheme S[n] parametrising
the length n zero-dimensional subschemes of a toric surface S can be described
with the help of equivariant techniques. In this paper, we explain the general
method and we illustrate it through many examples. In the last section, we
present results on the intersection theory of graded Hilbert schemes.

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