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Talk:Complex torus

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Latest comment: 1 year ago by Janczarknurek in topic Misleading information in the article

Add poincare bundle

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The material for the poincare bundle can be easily added, including the stuff on the dual torus. Check out page 5 of https://www.math.uchicago.edu/~ngo/Shimura.pdf http://web.archive.org/web/20210306021944/https://www.math.uchicago.edu/~ngo/Shimura.pdf for a rapid overview Kaptain-k-theory (talk) 18:17, 3 July 2021 (UTC)Reply

Misleading information in the article

[edit]

The article seems to state that every complex manifold diffeomorphic to a torus is a complex torus in a sense of C^n quotient. This is false as appropriate counterexample is provided in the notes of Olivier Debarre https://perso.imj-prg.fr/olivier-debarre/wp-content/uploads/debarre-pub/Toritalk.pdf the article should contain a section explaining this caveat or at least the offending statement should be removed. Janczarknurek (talk) 15:16, 31 January 2025 (UTC)Reply