Modular-type functions attached to mirror quintic Calabi-Yau varieties (Q897504)
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| Language | Label | Description | Also known as |
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| English | Modular-type functions attached to mirror quintic Calabi-Yau varieties |
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Modular-type functions attached to mirror quintic Calabi-Yau varieties (English)
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7 December 2015
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This paper studies a differential algebra of modular-type functions attached to the periods of the one-parameter family of mirror quintic Calabi-Yau threefolds. Such an algebra is generated by seven functions satisfying functional and differential equations parallel to the modular functional equations of classical Eisenstein series and the Ramanujan differential equation.
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Gauss-Manin connection
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Yukawa coupling
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Hodge filtration
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Griffiths transversality
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periods
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modular-type functions
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mirror quintic
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Calabi-Yau threefolds
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