Representation stability for the cohomology of arrangements associated to root systems |
| |
Authors: | Christin Bibby |
| |
Institution: | 1.Department of Mathematics,Fordham University,Bronx,USA |
| |
Abstract: | From Smyth’s classification, modular compactifications of the moduli space of pointed smooth rational curves are indexed by combinatorial data, the so-called extremal assignments. We explore their combinatorial structures and show that any extremal assignment is a finite union of atomic extremal assignments. We discuss a connection with the birational geometry of the moduli space of stable pointed rational curves. As applications, we study three special classes of extremal assignments: smooth, toric, and invariant with respect to the symmetric group action. We identify them with three combinatorial objects: simple intersecting families, complete multipartite graphs, and special families of integer partitions, respectively. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|