Deligne's conjecture and mirror symmetry (Q2231069)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Deligne's conjecture and mirror symmetry |
scientific article |
Statements
Deligne's conjecture and mirror symmetry (English)
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29 September 2021
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The author studies the connections between the mirror symmetry of Calabi-Yau threefolds and Deligne's conjecture on the special values of the \(L\)-functions of critical motives. He develops a method to compute Deligne's periods of Calabi-Yau threefolds in a one parameter mirror family. Using this method, the author computes Deligne's period for two crucial examples. Finally, some open problems are discussed in this paper.
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Calabi-Yau, Deligne's period
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motive
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