Talk:Poincaré residue
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Examples Needed
editExamples of poincare residues are needed. This should include easy/trivial examples and non-trivial examples as well.
Page improvements
editThis 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
editWe 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
editWhat 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)