Talk:Poincaré residue
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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
- Lecture 25 of http://www.math.stonybrook.edu/~cschnell/mat615/
- https://projecteuclid.org/euclid.tjm/1270215030 — Preceding unsigned comment added by Wundzer (talk • contribs) 19:16, 12 August 2020 (UTC)
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)
- 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)
- 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)
- 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)
- 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)
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)
- Redirect from Residue (complex geometry) done. Roger (Dodger67) (talk) 20:44, 30 July 2017 (UTC)