Geometry of Hermitian Algebraic Functions. Quotients of Squared Norms
| dc.creator | Varolin, Dror | |
| dc.date | 2005-04-11 | |
| dc.date | 2006-07-13 | |
| dc.date.accessioned | 2026-07-07T06:39:46Z | |
| dc.date.available | 2026-07-07T06:39:46Z | |
| dc.description | Hermitian algebraic functions were introduced by Catlin and D'Angelo under the name of "globalizable metrics". Catlin and D'Angelo proved that any Hermitian algebraic function without non-trivial zeros is a quotient of squared norms, thus giving an answer to a Hermitian analogue of Hilbert's 17th problem in the non-degenerate case. The result was independently proved somewhat earlier by D. Quillen in a special case, and using different methods. In this paper, we characterize all Hermitian algebraic functions that are quotients of squared norms. | |
| dc.description | Major revision. Some errors in the proof corrected, and other incorrect results removed, but the main result remains the same | |
| dc.identifier | https://arxiv.org/abs/math/0504229 | |
| dc.identifier | http://arxiv.org/abs/math/0504229 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101197 | |
| dc.subject | Complex Variables | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32L99; 14E15 | |
| dc.title | Geometry of Hermitian Algebraic Functions. Quotients of Squared Norms | |
| dc.type | text |