On the divisor class group of double solids |
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Authors: | Stephan Endraß |
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Institution: | Johannes Gutenberg-Universit?t, Fachbereich 17 (Mathematik), Staudinger-Weg 9, D-55099 Mainz, Germany. e-mail: endrass@mathematik.uni-mainz.de, DE
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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.
Received: 16 November 1998 |
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Keywords: | Mathematics Subject Classification (1991): 14J05 14E22 |
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