Varieties of clusters and Enriques diagrams
Joaquim Roe
Abstract
We study the geometry of the varieties of clusters Xr 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.
Create a lesson
Related papers
Affine realization of tilted Richardson varieties
Xuhua He, Qingchao Yu
Cetraro lectures on integrable systems and moduli spaces of curves
Alexandr Buryak, Paolo Rossi
A degree-linear upper bound for the Pólya exponent of forms with fixed arity
Yulong Li, Colin Tan
Characterization of A1-Milnor numbers of small rank
C-Y. Jean Chan, Thomas Hagedorn, Joel Louwsma et al.
The canonical class and Chern character operators on Hilbert schemes of points
Wei-Ping Li, Zhongyi Shi
The fifteenth cohomology group of moduli spaces of stable curves
Amy Bradford, Aitor Iribar López, Andreas Kretschmer et al.