Torelli theorem for cubic hypersurfaces - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-19T02:23:55Z http://mathoverflow.net/feeds/question/42003 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/42003/torelli-theorem-for-cubic-hypersurfaces Torelli theorem for cubic hypersurfaces unknown (google) 2010-10-13T09:42:03Z 2010-10-13T09:42:03Z <p>I'm reading the paper of Claire Voisin on the Torelli theorem for cubic hypersurfaces of \$\mathbb{P}^5\$ (in french : <a href="http://www.springerlink.com/content/j8675gn214l17523/" rel="nofollow">http://www.springerlink.com/content/j8675gn214l17523/</a>). Are there lecture notes, or survey articles, or a book on that subject, with full details ? There are a lot of 'clairement' and 'évident'...</p> <p>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...'</p>