Following this question, I would like to ask about books and lecture notes for Moduli spaces of Abelian varieties. I suppose that Mumfords book "Geometric Invariant theory" treats it but it is a very dense and difficult book for a first study.
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1$\begingroup$ Birkenhake--Lange has a lot of material on this topic, in the complex setting. $\endgroup$– Lazzaro CampeottiCommented Apr 29 at 13:43
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$\begingroup$ Do you mean their chapter "Moduli Spaces of Abelian Varieties with Endomorphism Structure" in " Complex Abelian Varieties "? Is it an introductory one? $\endgroup$– T. WildwolfCommented Apr 29 at 14:07
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3$\begingroup$ In my copy (2nd ed.) Chapter 8 is titled "Moduli" and Chapter 9 is the one you mention. $\endgroup$– Lazzaro CampeottiCommented Apr 29 at 14:11
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$\begingroup$ There are also these notes by K. Buzzard: ma.imperial.ac.uk/~buzzard/maths/research/notes/… $\endgroup$– Francesco PolizziCommented Apr 29 at 14:29
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1 Answer
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Besides the chapter on Moduli in the classical textbook by Birkenhake-Lange, you might have a look at
A. Adler - S. Ramanan: Moduli of Abelian varieties, Lecture Notes in Mathematics 1644, Springer 1996.
answered Apr 29 at 14:23