Open Access
October 2008 Generic Torelli theorem for quintic-mirror family
Sampei Usui
Proc. Japan Acad. Ser. A Math. Sci. 84(8): 143-146 (October 2008). DOI: 10.3792/pjaa.84.143


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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Sampei Usui. "Generic Torelli theorem for quintic-mirror family." Proc. Japan Acad. Ser. A Math. Sci. 84 (8) 143 - 146, October 2008.


Published: October 2008
First available in Project Euclid: 6 October 2008

zbMATH: 1164.14003
MathSciNet: MR2457802
Digital Object Identifier: 10.3792/pjaa.84.143

Primary: 14C30
Secondary: 14D07 , 32G20

Keywords: logarithmic Hodge theory , moduli , Quintic-mirror family , Torelli theorem

Rights: Copyright © 2008 The Japan Academy

Vol.84 • No. 8 • October 2008
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