Log Hodge groups

General Introduction
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Search results
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Online References
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Paper References
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Definition
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Properties
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Standard theorems
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Open Problems
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Connections to Number Theory
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Computations and Examples
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History and Applications
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Some Research Articles
Title: Log Hodge groups on a toric CalabiYau degeneration Authors: Helge Ruddat Categories: math.AG math.CV Comments: 48 pages, 3 figures MSCclass: 14J32; 32S35; 14M25 \ We give a spectral sequence to compute the logarithmic Hodge groups on a hypersurface type toric log CalabiYau space, compute its E1 term explicitly in terms of tropical degeneration data and Jacobian rings and prove its degeneration at E2 under mild assumptions. We prove the basechange of the affine Hodge groups and deduce it for the logarithmic Hodge groups in low dimensions. As an application, we prove a mirror symmetry duality in dimension two and four involving the usual Hodge numbers, the stringy Hodge numbers and the affine Hodge numbers. \ ( http://arxiv.org/abs/0906.4809 , 58kb)
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Other Information
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