Compact moduli of hyperplane arrangements
| dc.creator | Hacking, Paul | |
| dc.date | 2003-10-30 | |
| dc.date.accessioned | 2026-07-07T05:02:22Z | |
| dc.date.available | 2026-07-07T05:02:22Z | |
| dc.description | The minimal model program suggests a compactification of the moduli space of hyperplane arrangements which is a moduli space of stable pairs. Here, a stable pair consists of a scheme X which is a degeneration of projective space and a divisor D=D_1+..+D_n on X which is a limit of hyperplane arrangements. For example, in the 1-dimensional case, the stable pairs are stable curves of genus 0 with n marked points. Kapranov has defined an alternative compactification using his Chow quotient construction, which may be described fairly explicitly. We prove that these two compactifications coincide. We deduce a description of all stable pairs. | |
| dc.description | 27 pages | |
| dc.identifier | https://arxiv.org/abs/math/0310479 | |
| dc.identifier | http://arxiv.org/abs/math/0310479 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69031 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Combinatorics | |
| dc.subject | 14J10, 52C35 | |
| dc.title | Compact moduli of hyperplane arrangements | |
| dc.type | text |