Roitman's theorem for singular complex projective surfaces
| dc.creator | Barbieri-Viale, L. | |
| dc.creator | Pedrini, C. | |
| dc.creator | Weibel, C. | |
| dc.date | 1995-03-29 | |
| dc.date.accessioned | 2026-07-07T09:06:26Z | |
| dc.date.available | 2026-07-07T09:06:26Z | |
| dc.description | Let $X$ be a complex projective surface with arbitrary singularities. We construct a generalized Abel--Jacobi map $A_0(X)\to J^2(X)$ and show that it is an isomorphism on torsion subgroups. Here $A_0(X)$ is the appropriate Chow group of smooth 0-cycles of degree 0 on $X$, and $J^2(X)$ is the intermediate Jacobian associated with the mixed Hodge structure on $H^3(X)$. Our result generalizes a theorem of Roitman for smooth surfaces: if $X$ is smooth then the torsion in the usual Chow group $A_0(X)$ is isomorphic to the torsion in the usual Albanese variety $J^2(X)\cong Alb(X)$ by the classical Abel-Jacobi map. | |
| dc.description | 36 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9503022 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9503022 | |
| dc.identifier | Duke Math. J. 84 (1996), 155-190 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150002 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Roitman's theorem for singular complex projective surfaces | |
| dc.type | text |