Toric complete intersections and weighted projective space

Details Toric complete intersections and weighted projective space Toric complete intersections and weighted projective space

2001-03-29

arxiv.org/abs/math/0103214v3

J.Geom.Phys. 46 (2003) 159-173

Mathematics

Algebraic Geometry

16 pages, LaTeX2e, error in Hodge data corrected

Scientific paper

It has been shown by Batyrev and Borisov that nef partitions of reflexive polyhedra can be used to construct mirror pairs of complete intersection Calabi--Yau manifolds in toric ambient spaces. We construct a number of such spaces and compute their cohomological data. We also discuss the relation of our results to complete intersections in weighted projective spaces and try to recover them as special cases of the toric construction. As compared to hypersurfaces, codimension two more than doubles the number of spectra with $h^{11}=1$. Alltogether we find 87 new (mirror pairs of) Hodge data, mainly with $h^{11}\le4$.

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