Varieties of clusters and Enriques diagrams
Algebraic Geometry
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0108023,
title = {Varieties of clusters and Enriques diagrams},
author = {Joaquim Roe},
journal= {arXiv preprint arXiv:math/0108023},
year = {2007}
}
Comments
8 figures