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

This is a more precise version of my previous question. Let $X$ be a smooth variety of dimension $n$ over $\mathbb{C}$ and $Z$ a proper sub-scheme. We denote by $\tilde{X}$ the formal completion of $X$ along $Z$. We have an isomorphism from page 22 of http://www.math.purdue.edu/~lipman/papers/formal-duality.pdf

$$ Ext^{n-i}_{\tilde{X}}(E,\omega_{\tilde{X}}) \cong (H^{\bullet}R\Gamma(\tilde{X},R\Gamma'_\tilde{X}(E))^i $$

See their paper for the definition of $R\Gamma'$.

Question: Is there some more involved version of residue integration which allows me to realize this map in an analytic fashion?

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.