On the generic degree of two-parameter period mappings

We present a method for computing the generic degree of a period map defined on a quasi-projective surface. As an application, we explicitly compute the generic degree of three period maps underlying families of Calabi-Yau 3-folds coming from toric hypersurfaces. As a consequence, we show that the g...

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Hauptverfasser: Chen, Chongyao, Deng, Haohua
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Sprache:eng
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Zusammenfassung:We present a method for computing the generic degree of a period map defined on a quasi-projective surface. As an application, we explicitly compute the generic degree of three period maps underlying families of Calabi-Yau 3-folds coming from toric hypersurfaces. As a consequence, we show that the generic Torelli theorem holds for these cases.
DOI:10.48550/arxiv.2408.12090