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The Chow ring of triangles of the plane. (L’anneau de Chow des triangles du plan.) (French) Zbl 0705.14004

The authors give a complete description of the Chow ring of the Hilbert scheme \(H=\text{Hilb}^ 3({\mathbb P}^ 2)\) of subschemes of the plane with length 3. To define the base cycles of \(H\) they use the scheme \(\tilde H\) of pairs \((t,d)\) with \(t\in H\) and \(d\) a subscheme of \(t\) with length 2. This extra precision allows intersection multiplicities of cycles to be calculated by set theoretical arguments.
Reviewer: G. Horrocks

MSC:

14C05 Parametrization (Chow and Hilbert schemes)
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References:

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