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manuscripta mathematica

, Volume 99, Issue 3, pp 341–358 | Cite as

On the divisor class group of double solids

  • Stephan Endraß

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.

Mathematics Subject Classification (1991): 14J05, 14E22 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Stephan Endraß
    • 1
  1. 1.Johannes Gutenberg-Universität, Fachbereich 17 (Mathematik), Staudinger-Weg 9, D-55099 Mainz, Germany. e-mail: endrass@mathematik.uni-mainz.deDE

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