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Singularities of special Lagrangian fibrations and the SYZ Conjecture

Abstract:

The SYZ Conjecture explains Mirror Symmetry between mirror Calabi-Yau 3-folds M,M' in terms of special Lagrangian fibrations f : M --> B and f' : M' --> B over the same base B, whose fibres are dual 3-tori, except for singular fibres. One of the main problems in proving the SYZ Conjecture (or even in finding the right statement of it) is that the singularities of special Lagrangian 3-folds and fibrations are poorly understood. This paper studies the singularities of special Lagrangian...

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Publication status:
Published

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Publisher copy:
10.4310/CAG.2003.v11.n5.a3

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Journal:
Communications in Analysis and Geometry 11 (2003), 859-907.
Volume:
11
Issue:
5
Pages:
859-907
Publication date:
2000-11-22
DOI:
EISSN:
1944-9992
ISSN:
1019-8385
URN:
uuid:86947b65-34aa-4c5b-bcc9-cceacb60ad25
Source identifiers:
7677
Local pid:
pubs:7677
Keywords:

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