Surfaces of Albanese general type and the Severi Conjecture
| dc.creator | Manetti, Marco | |
| dc.date | 2000-03-01 | |
| dc.date | 2000-12-19 | |
| dc.date.accessioned | 2026-07-07T04:34:09Z | |
| dc.date.available | 2026-07-07T04:34:09Z | |
| dc.description | In 1932 F. Severi claimed, with an incorrect proof, that every smooth minimal projective surface $S$ such that the bundle $Ω^1_S$ is generically generated by global sections satisfies the topological inequality $2c_1^2(S)\ge c_2(S)$. According to Enriques-Kodaira classification, the above inequality is easily verified when the Kodaira dimension of the surface is $\le 1$, while for surfaces of general type it is still an open problem known as Severi conjecture. In this paper we prove Severi conjecture under the additional mild hypothesis that $S$ has ample canonical bundle. Moreover, under the same assumption, we prove that $2c_1^2(S)=c_2(S)$ if and only if $S$ is a double cover of an abelian surface. | |
| dc.description | Revised version, with simplified proofs, of an earlier preprint (1997). Latex: 22 pages | |
| dc.identifier | https://arxiv.org/abs/math/0003006 | |
| dc.identifier | http://arxiv.org/abs/math/0003006 | |
| dc.identifier | Math. Nachr. 261-262 (2003) 105-122. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58794 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J29 | |
| dc.title | Surfaces of Albanese general type and the Severi Conjecture | |
| dc.type | text |