Stable reduction and topological invariants of complex polynomials
| dc.creator | Norbury, Paul | |
| dc.date | 2006-05-10 | |
| dc.date.accessioned | 2026-07-07T07:14:05Z | |
| dc.date.available | 2026-07-07T07:14:05Z | |
| dc.description | A topological invariant of a polynomial map $p:X\to B$ from a complex surface containing a curve $C\subset X$ to a one-dimensional base is given by a rational second homology class in the compactification of the moduli space of genus $g$ curves with $n$ labeled points $\modmgn$. Here the generic fibre of $p$ has genus $g$ and intersects $C$ in $n$ points. In this paper we give an efficient method to calculate this homology class. We apply this to any polynomial in two complex variables $p :\bc^2\to\bc$ where the $n$ points on a fibre are its points at infinity. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0605267 | |
| dc.identifier | http://arxiv.org/abs/math/0605267 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112732 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 14D05; 32S50; 57M27 | |
| dc.title | Stable reduction and topological invariants of complex polynomials | |
| dc.type | text |