Characteristic Classes of Hypersurfaces and Characteristic Cycles
| dc.creator | Parusinski, Adam | |
| dc.creator | Pragacz, Piotr | |
| dc.date | 1998-01-21 | |
| dc.date.accessioned | 2026-07-07T05:23:39Z | |
| dc.date.available | 2026-07-07T05:23:39Z | |
| dc.description | We give a new formula for the Chern-Schwartz-MacPherson class of a hypersurface in a nonsigular compact complex analytic variety. In particular this formula generalizes our previous result on the Euler characteristic of such a hypersurface. Two different approaches are presented. The first is based on the theory of characteristic cycle and the works of Sabbah, Briancon-Maisonobe-Merle, and Le-Mebkhout. In particular, this approach leads to a simple proof of a formula of Aluffi for the above mentioned class. The second approach uses Verdier's specialization property of the Chern-Schwartz-MacPherson classes. Some related new formulas are also given. | |
| dc.description | AMS-LaTeX, 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/9801102 | |
| dc.identifier | http://arxiv.org/abs/math/9801102 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76525 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Characteristic Classes of Hypersurfaces and Characteristic Cycles | |
| dc.type | text |