Lame operators with projective octahedral and icosahedral monodromies
| dc.creator | Nakanishi, Keiri | |
| dc.date | 2004-11-08 | |
| dc.date | 2004-11-18 | |
| dc.date.accessioned | 2026-07-07T05:14:04Z | |
| dc.date.available | 2026-07-07T05:14:04Z | |
| dc.description | We show that there exists a Lame operator $L_n$ with projective octahedral monodromy for each $n\in{1/2}(\mathbf{N}+{1/2})\cup{1/3}(\mathbf{N}+{1/2}) $, and with projective icosahedral monodromy for each $n\in{1/3}(\mathbf{N}+{1/2})\cup{1/5}(\mathbf{N}+{1/2}) $. To this end, we construct Grothendieck's dessin d'enfants corresponding to the Belyi morphisms which pull-back hypergeometric operators into Lame operators $L_n$ with the desired monodromies. | |
| dc.description | 23 pages, 34 figures; some spell-mistakes are fixed, and detailed explanations on the tables are added | |
| dc.identifier | https://arxiv.org/abs/math/0411159 | |
| dc.identifier | http://arxiv.org/abs/math/0411159 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73139 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 14H30; 34G10 | |
| dc.title | Lame operators with projective octahedral and icosahedral monodromies | |
| dc.type | text |