Arithmetic mirror symmetry (Q2471440)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Arithmetic mirror symmetry |
scientific article |
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Arithmetic mirror symmetry (English)
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22 February 2008
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This expository paper is based on my lecture at the Borel memorial conference. Our main purpose was to explore possible mirror relations between the arithmetic of a Calabi-Yau hypersurface and the arithmetic of its mirror. Through the study of some concrete examples, we discover that there are at least two types of mirror relations between the zeta function of a Calabi-Yau variety and the zeta function of its mirror. The aim of this note is to explain these relations.
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