Jump to content

Talk:Poincaré residue

Page contents not supported in other languages.
From Wikipedia, the free encyclopedia

Examples Needed

[edit]

Examples of poincare residues are needed. This should include easy/trivial examples and non-trivial examples as well.

Page improvements

[edit]

This page could be improved by discussing residues of connections. Here's a couple resources

Merge

[edit]

We should merge Poincare residues Residue (Complex Geometry). It turns out that they are the same thing, but the definition on this page is not as broad. Please look at

http://www.ams.org/journals/tran/1975-213-00/S0002-9947-1975-0430297-3/S0002-9947-1975-0430297-3.pdf — Preceding unsigned comment added by 71.205.224.144 (talk) 23:14, 22 July 2017 (UTC)[reply]

I agree to a large extent, but I do not understand why Draft:Residue (Complex Geometry) is apparently restricted to hypersurfaces in . The article you cite appears to be valid on any complex manifold. Sławomir Biały (talk) 23:36, 22 July 2017 (UTC)[reply]
This is how it is constructed in Schnell's notes. There is a generalized construction in Weber's paper, but I have not read through it yet. Would you be willing to read through it and add examples? I want to focus on working on the other paper introducing resultants and residues. But, this is how Griffiths defines the poincare residue. Look at the middle of page 3 onward of http://www.ams.org/journals/bull/1982-06-02/S0273-0979-1982-14967-9/S0273-0979-1982-14967-9.pdf — Preceding unsigned comment added by 97.122.75.155 (talk) 02:57, 23 July 2017 (UTC)[reply]
That looks like a nice paper, in particular for justifying the Poincaré eponym. But I just discovered Adjunction formula#Poincaré residue, which I think should be a part of this merge discussion, since it appears to provide the generalization that I would like to see included. Sławomir Biały (talk) 11:16, 23 July 2017 (UTC)[reply]

Merge Completed

[edit]

What should be done? There should be a link/redirect of Residue (Complex Geometry) to this page! — Preceding unsigned comment added by 174.149.247.87 (talk) 21:09, 25 July 2017 (UTC)[reply]

Redirect from Residue (complex geometry) done. Roger (Dodger67) (talk) 20:44, 30 July 2017 (UTC)[reply]