Proceedings of the Japan Academy, Series A, Mathematical Sciences

Generic Torelli theorem for quintic-mirror family

Sampei Usui

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This article is a geometric application of polarized logarithmic Hodge theory of Kazuya Kato and Sampei Usui. We prove generic Torelli theorem for the well-known quintic-mirror family in two ways by using different logarithmic points at the boundary of the fine moduli of polarized logarithmic Hodge structures.

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Proc. Japan Acad. Ser. A Math. Sci., Volume 84, Number 8 (2008), 143-146.

First available in Project Euclid: 6 October 2008

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Primary: 14C30: Transcendental methods, Hodge theory [See also 14D07, 32G20, 32J25, 32S35], Hodge conjecture
Secondary: 14D07: Variation of Hodge structures [See also 32G20] 32G20: Period matrices, variation of Hodge structure; degenerations [See also 14D05, 14D07, 14K30]

Quintic-mirror family logarithmic Hodge theory moduli Torelli theorem


Usui, Sampei. Generic Torelli theorem for quintic-mirror family. Proc. Japan Acad. Ser. A Math. Sci. 84 (2008), no. 8, 143--146. doi:10.3792/pjaa.84.143.

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