MathOverflow is a question and answer site for professional mathematicians. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

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...'

share|cite|improve this question
    
In the case you have not yet seen it, there exists an alternative proof by Looijenga. The period map for cubic fourfolds arxiv.org/abs/0705.0951 – Dmitri Oct 17 '10 at 20:59

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.