On the divisor class group of double solids
| dc.creator | Endrass, Stephan | |
| dc.date | 1998-09-28 | |
| dc.date | 1998-09-29 | |
| dc.date.accessioned | 2026-07-07T05:26:10Z | |
| dc.date.available | 2026-07-07T05:26:10Z | |
| dc.description | For a double solid $V\to P_3(C)$ branched over a surface $B\subset P_3(C)$ with only ordinary nodes as singularities, we give a set of generators of the divisor class group $Pic(\tilde{V}})$ in terms of contact surfaces of $B$ with only superisolated singularities in the nodes of $B$. As an application we give a condition when the integral cohomology of $\tilde{V}$ has no 2-torsion. All possible cases are listed if $B$ is a quartic surface. Furthermore we give a new lower bound for the dimension of the code of $B$. | |
| dc.description | 16 pages, minor grammatical changes | |
| dc.identifier | https://arxiv.org/abs/math/9809158 | |
| dc.identifier | http://arxiv.org/abs/math/9809158 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77452 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J30 | |
| dc.title | On the divisor class group of double solids | |
| dc.type | text |