On a Chisini Conjecture
| dc.creator | Kulikov, Vik. S. | |
| dc.date | 1998-03-29 | |
| dc.date.accessioned | 2026-07-07T05:24:14Z | |
| dc.date.available | 2026-07-07T05:24:14Z | |
| dc.description | Chisini's conjecture asserts that for a cuspidal curve $B\subset \mathbb P^2$ a generic morphism $f$ of a smooth projective surface onto $\mathbb P^2$ of degree $\geq 5$, branched along $B$, is unique up to isomorphism. We prove that if $°f$ is greater than the value of some function depending on the degree, genus, and number of cusps of $B$, then the Chisini conjecture holds for $B$. This inequality holds for many different generic morphisms. In particular, it holds for a generic morphism given by a linear subsystem of the $m$th canonical class for almost all surfaces with ample canonical class. | |
| dc.description | 28 pages, LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/math/9803144 | |
| dc.identifier | http://arxiv.org/abs/math/9803144 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76761 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J99 (Primary) 14H10 (Secondary) | |
| dc.title | On a Chisini Conjecture | |
| dc.type | text |