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I want to study FLT (Fermat's Last Theorem), and now I'm studying moduli of elliptic curves.
I've heard that Deligne-Rapoport, Katz-Mazur, Mazur's "Modular curves...", and Katz's "p-adic..." are very good for this topic.

But I don't know what's the difference between these papers. For me it seems that these treat almost same topics.

So what should I read at first? (Now I'm reading Katz-Mazur. It's easy to read even for me, a beginner of arithmetic geometry. So I think I should read it at first. And glancing through Mazur, it seems to use many results from other 3 papers.)

And would you recommend other good papers which I should understand for understanding FLT?

Any help will be much appreciated!

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  • $\begingroup$ Thank you for your answers! But I also want to know "what's the difference between these papers" and "what should I read at first?" $\endgroup$ – k.j. Aug 2 at 20:10
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I would have a look at Cornell--Silverman--Stevens's book called "Modular forms and Fermat's last theorem". IMO it covers the material really well and you can always chase through the references there for any further details you need.

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  • $\begingroup$ Thank you for your answers! This is great. But I also want to know "what's the difference between these papers" and "what should I read at first?" Could you tell me? $\endgroup$ – k.j. Aug 4 at 11:36
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As another reference, there is Milne's notes. This starts from basics and builds fastly and exhaustively to reach the fermat's Last theorem, meanwhile meeting some principles involved in Birch-Swinnerton-Dyer also on the way. It also proves the Riemann hypothesis for elliptic curves. Truly a number theorist and algebraic geometer's haven!

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