Bohr-Sommerfeld tori and relative Poincare series on a complex hyperbolic space
| dc.creator | Foth, Tatyana | |
| dc.date | 1999-11-01 | |
| dc.date | 1999-11-16 | |
| dc.date.accessioned | 2026-07-07T05:31:22Z | |
| dc.date.available | 2026-07-07T05:31:22Z | |
| dc.description | Automorphic forms on a bounded symmetric domain D=G/K can be viewed as holomorphic sections of $L^{\otimes k}$, where L is a quantizing line bundle on a compact quotient of D and k is a positive integer. Let $Γ$ be a cocompact discrete subgroup of SU(n,1) which acts freely on SU(n,1)/U(n). We suggest a construction of relative Poincaré series associated to loxodromic elements in $Γ$. In complex dimension 2 we describe Bohr-Sommerfeld tori in $Γ\backslash SU(n,1)/U(n)$ associated to hyperbolic elements of $Γ$ and prove that the relative Poincaré series associated to the hyperbolic elements of $Γ$ are not identically zero for large k. | |
| dc.description | 18 pages, LaTeX; added references, corrected typos | |
| dc.identifier | https://arxiv.org/abs/math/9910183 | |
| dc.identifier | http://arxiv.org/abs/math/9910183 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79318 | |
| dc.subject | Differential Geometry | |
| dc.subject | Complex Variables | |
| dc.subject | 32N15 | |
| dc.title | Bohr-Sommerfeld tori and relative Poincare series on a complex hyperbolic space | |
| dc.type | text |