What is...the Riemann-Roch theorem?
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- Опубликовано: 3 окт 2024
- Goal.
I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much.
This time.
What is...the Riemann-Roch theorem? Or: Allowing poles.
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Slides.
www.dtubbenhaue...
TeX files for the presentation.
github.com/dtu...
Thumbnail.
en.wikipedia.o...
Main discussion.
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Background material.
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Computer talk.
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Pictures used.
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Again en.wikipedia.o...
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RUclips and co.
• Riemann Roch (Introdu...
• The Riemann-Roch Theor...
• Riemann Roch: structur...
#geometry
#analysis
#mathematics
much better than wikipedia's explanation! i see now how commutating fails for some push forwards of schemes oh my
Excellent, thanks for the feedback ☺
I also had the feeling that the wiki page was a bit too much stuck in details, but maybe that is just me.
In complex analysis, Liouville's Theorem states that a bounded holomorphic function on the entire complex plane must be constant.
The boring case :)
Haha, exactly 🤣 Complex analysis is full of scary theorems 🙃
been looking forwards to this one!
Me too 🤣 Anyway, I am glad that you like the theorem!
nice!
Yes, the theorem is excellent, I am glad that you like it ☺
Sorry about the floods in Bavaria
(I think you're German?)
That is right, but I haven't been in Germany for a while 😅 The situation seems to be pretty bad, so let us hope it will not get worse.