Abstract:
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.
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Received: 16 November 1998
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Endraß, S. On the divisor class group of double solids. manuscripta math. 99, 341–358 (1999). https://doi.org/10.1007/s002290050177
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DOI: https://doi.org/10.1007/s002290050177