I'm reading the paper of Claire Voisin on the Torelli theorem for cubic hypersurfaces of $\mathbb{P}^5$ (in french : http://www.springerlink.com/content/j8675gn214l17523/). Are there lecture notes, or survey articles, or a book on that subject, with full details ? There are a lot of 'clairement' and 'évident'...
In the last section of the paper for example, she proves that the period map, extended to the locus $\Delta$ of cubics with one node (after a degre 2 ramified cover) has maximal rank along $\Delta$. The Clemens-Schmid sequences seems a little different from the one in Peters-Steenbrink and I am not sure about the precise meaning of 'the period map essentially gives this Hodge structure, from what it is obvious that we can reconstruct this other one, etc...'
springerlink.com
is broken. Perhaps it is meant to point to the following one—? Voisin, Claire, Théorème de Torelli pour les cubiques de $\mathbb{P}^5$, Invent. Math. 86, 577–601 (1986). Zbl 0622.14009. Erratum, Invent. Math. 172, No. 2, 455–458 (2008). Zbl 1133.14310. $\endgroup$