6533b833fe1ef96bd129c0e1
RESEARCH PRODUCT
On the divisor class group of double solids
Stephan Endraßsubject
CombinatoricsSurface (mathematics)Number theoryDivisor summatory functionGroup (mathematics)DivisorGeneral MathematicsAlgebraic geometryUpper and lower boundsZero divisorMathematicsdescription
For a double solid V→ℙ3> branched over a surface B⊂ℙ3(ℂ) with only ordinary nodes as singularities, we give a set of generators of the divisor class group \(\) in terms of contact surfaces of B with only superisolated singularities in the nodes of B. As an application we give a condition when H* (˜V , ℤ) has no 2-torsion. All possible cases are listed if B is a quartic. Furthermore we give a new lower bound for the dimension of the code of B.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-07-01 | manuscripta mathematica |