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Varieties of clusters and Enriques diagrams

Joaquim Roe
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Abstract

We study the geometry of the varieties of clusters X_r introduced by Kleiman in the 70's, showing that for every Enriques diagram D of r vertices the subset Cl(D) of the clusters with Enriques diagram D is locally closed. We study also the relative positions of the subvarieties Cl(D), showing that they do not form a stratification and giving criteria for adjacencies between them.

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Joaquim Roe. 2001-08-03. Varieties of clusters and Enriques diagrams. https://arxiv.org/abs/math/0108023

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