Chern Classes of Fibered Products of Surfaces
| dc.creator | Teicher, Mina | |
| dc.date | 1997-03-12 | |
| dc.date | 1999-02-26 | |
| dc.date.accessioned | 2026-07-07T09:01:50Z | |
| dc.date.available | 2026-07-07T09:01:50Z | |
| dc.description | In this paper we introduce a formula to compute Chern classes of fibered products of algebraic surfaces. For f, a generic projection to CP^2, of an algebraic surface X, we define X_k (for k smaller than degf) to be the k products of X over f minus the big diagonal. For k=degf, X_k is called the Galois cover of f w.r.t. full symmetric group. Let S be the branch curve of f. We give a formula for c_1^2 and c_2 of X_k, in terms of degf, degS, and the number of cusps, nodes and branch points of S. We apply the formula in 2 examples and add a conjecture concerning the spin structure of fibered products of Veronese surfaces. | |
| dc.description | AMS-TeX, 12 pages, revised version. Appeared in Documenta | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9703017 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9703017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148418 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Chern Classes of Fibered Products of Surfaces | |
| dc.type | text |