Double coverings of octic arrangements with isolated singularities

Details Double coverings of octic arrangements with isolated singularities Double coverings of octic arrangements with isolated singularities

1999-02-12

arxiv.org/abs/math/9902077v1

Mathematics

Algebraic Geometry

8 pages

Scientific paper

In this paper we construct 206 examples of Calabi-Yau manifolds with different Euler numbers. All constructed examples are smooth models of double coverings of $P^3$ branched along an octic surface. We allow 11 types of (not necessary isolated) singularities in the branch locus. Thus we broaden the class of examples studied in math.AG/9902057. For every considered example we compute the Euler number and give a precise description of a resolution of singularities.

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