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Toric complete intersections and weighted projective space

✍ Scribed by Maximilian Kreuzer; Erwin Riegler; David A. Sahakyan

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
139 KB
Volume
46
Category
Article
ISSN
0393-0440

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✦ Synopsis

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. Altogether we find 87 new (mirror pairs of) Hodge data, mainly with h 11 ≀ 4.

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