Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Let $Q$ be the intersection of $k$ homogeneous quadrics (zero loci of homogeneous quadratic polynomials) restricted to $S^{n}\subset \mathbb{R}^{n+1}$. Consider the intersection of $Q$ with an hyperplane; it may dramatically depend on the choice of the hyperplane, but the question is the following: what can one say about the topology of the whole $Q$ once known something about the topology of the hyperplane section? Are there any well-known results, for instance about Betti numbers or other kind of "rough" informations?

share|improve this question
add comment

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.