Moduli Space of Cubic Surfaces as Ball Quotient via Hypergeometric Functions
| dc.creator | Doran, Brent R. | |
| dc.date | 2004-04-04 | |
| dc.date.accessioned | 2026-07-07T05:07:04Z | |
| dc.date.available | 2026-07-07T05:07:04Z | |
| dc.description | We describe hypergeometric functions of Deligne-Mostow type for open subsets of the configuration space of six points on P^2, induced from those for seven points on P^1. The seven point ball quotient example DM(2^5,1^2) does not appear on Mostow's original list, but does appear on Thurston's corrected version. We show that DM(2^5,1^2) is a finite cover of the moduli space of cubic surfaces M_C endowed with the ball quotient structure G_C\B^4 of Allcock, Carlson, and Toledo. This answers a question of Allcock about the commensurability of G_C with the monodromy groups of Deligne-Mostow hypergeometric functions. | |
| dc.identifier | https://arxiv.org/abs/math/0404062 | |
| dc.identifier | http://arxiv.org/abs/math/0404062 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70715 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Moduli Space of Cubic Surfaces as Ball Quotient via Hypergeometric Functions | |
| dc.type | text |