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Bjorn Poonen mentions in his "Lectures on rational points on curves" the analogy between the genus of a function field and the discriminant of number fields. I'm looking for a reference book for this statement.

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    $\begingroup$ Neukirch, Algebraic Number Theory, is a suitable reference. $\endgroup$
    – Felipe Voloch
    Commented Jul 2, 2013 at 12:45
  • $\begingroup$ Also, Basic Number Theory by Weil. $\endgroup$
    – Chandan Singh Dalawat
    Commented Jul 2, 2013 at 12:59
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    $\begingroup$ <i>Fourier Analysis on Number Fields</i>, by Ramakrishnan and Valenza covers this and is (in my opinion) somewhat easier than the two references suggested above. $\endgroup$
    – David E Speyer
    Commented Jul 2, 2013 at 13:22
  • $\begingroup$ Can you tell me the exact passage.. $\endgroup$
    – user36362
    Commented Jul 2, 2013 at 14:14
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    $\begingroup$ You might also consult van der Geer and Schoof's paper on the Theta divisor of a number field. You can find it on Schoof's webpage. $\endgroup$
    – Filippo Alberto Edoardo
    Commented Jul 2, 2013 at 16:53

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