For the past few weeks I have been starting to learn about complex geometry and Hodge theory. I'm doing so with the book of Daniel Huybrechts Complex Geometry, which is an excellent book, however I would like to supplement this book with some online lectures.

Is there anyone who can recommend me a lecture series which I can use to learn about complex geometry and related topics?


1 Answer 1



1.You can refer to Complex Manifolds written by James Morrow and Kunihiko Kodaira.

It is an excellent primer including a lot of calculations and details.

2.You can refer to Principal of Algebraic Geometry written by Griffiths and Harris and Complex Analytic and Differential Geometry written by Jean-Pierre Demailly.

They have more differential-geometric points of view.

3.You can refer to Hodge Theory and Complex Algebraic Geometry 1 written by Claire Voisin.

It may be more difficult and advanced and have more algebraic points of view.

Notes and Lectures

1.Notes about complex manifolds which is a wonderful supplement of the Huybrechts' book.


2.New lectures written by Hossein Movasati about the Hodge theory.


3.If you interested in Kahler Manifolds,you can see the lectures written by Werner Ballmann.



1.Hans-Joachim Hein's Complex Geometry that consisting of ten classes is nice. See here :https://m.youtube.com/results?search_query=complex+geometry

2.Complex Analytic and Algebraic Geometry by Qaisar Latif.

See here: https://m.youtube.com/playlist?list=PLWy-AYZriyMGZjZQ7I8kYhZhtlUzFcWcz

  • $\begingroup$ Thank you very much, however I would also be very interested in online video lectures. Do you know any? $\endgroup$ Oct 12, 2019 at 9:47
  • $\begingroup$ I added it in my answer. Hope you have a wonderful trip in complex geometry! $\endgroup$
    – Invariance
    Oct 12, 2019 at 13:21
  • $\begingroup$ ad Videos, 1. Is the course by Hein still available? Can't find it. $\endgroup$
    – Mathy
    Nov 17, 2020 at 9:09
  • $\begingroup$ Dear @Mathy, I also cannot find it, anyway there're still several nice resources online. $\endgroup$
    – Invariance
    Nov 22, 2020 at 6:59

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