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Mirror Symmetry for Calabi-Yau Hypersurfaces in Weighted P_4 and Extensions of Landau Ginzburg Theory

Abstract:

Recently two groups have listed all sets of weights (k_1,...,k_5) such that the weighted projective space P_4^{(k_1,...,k_5)} admits a transverse Calabi-Yau hypersurface. It was noticed that the corresponding Calabi-Yau manifolds do not form a mirror symmetric set since some 850 of the 7555 manifolds have Hodge numbers (b_{11},b_{21}) whose mirrors do not occur in the list. By means of Batyrev's construction we have checked that each of the 7555 manifolds does indeed have a mirror. The `missi...

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Publication status:
Published

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
Nucl.Phys. B
Volume:
450
Issue:
1-2
Pages:
267-292
Publication date:
1994-12-13
DOI:
ISSN:
0550-3213
URN:
uuid:47bdeaaa-0a6f-4f73-ba2d-0d91de421388
Source identifiers:
2865
Local pid:
pubs:2865
Keywords:

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