One-parameter mirror families to weighted hypersurfaces are already constructed and well studied. A generic Torelli theorem for quintic-mirror family is proved by Sampei Usui. In this article, we give the proof of a generic Torelli theorem for the other families after Usui's proof for quintic-mirror family.
@article{1259763078,
author = {Shirakawa, Kennichiro},
title = {Generic Torelli theorem for one-parameter mirror families to weighted hypersurfaces},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
volume = {85},
number = {2},
year = {2009},
pages = { 167-170},
language = {en},
url = {http://dml.mathdoc.fr/item/1259763078}
}
Shirakawa, Kennichiro. Generic Torelli theorem for one-parameter mirror families to weighted hypersurfaces. Proc. Japan Acad. Ser. A Math. Sci., Tome 85 (2009) no. 2, pp. 167-170. http://gdmltest.u-ga.fr/item/1259763078/