I find this quote in Martin Krieger, Doing Mathematics: Convention, Subject, Calculation, Analogy, New Jersey, World Scientific Publishing, 2003, p. 223.

"Hilbert then shows how one of Dedekind's notions of a prime factor or ideal (the different) corresponds to the Riemann-Roch theorem, a geometric and arithmetic fact concerning the topology of Riemann's surfaces."

Could anyone explain it to me in some not too tecnical detail? What does "the different" mean in that context?

  • $\begingroup$ Have you looked it up in Wikipedia or a book? Difficult to answer when you say 'not too technical detail', very subjective. $\endgroup$ – Mohan Sep 12 '15 at 16:31
  • $\begingroup$ @Mohan I mean, a clarification of what the paragraph says and of the criterion allowing dor that special kind of ideals as compared with all others. $\endgroup$ – Javier Arias Sep 12 '15 at 18:32
  • $\begingroup$ I think the different is referring to the different ideal, but I'm not sure. More info here. $\endgroup$ – André 3000 Sep 13 '15 at 2:59
  • $\begingroup$ @SpamIAm. Yes, it is referring to that. But the point is, I do not quite understand it. $\endgroup$ – Javier Arias Sep 13 '15 at 7:59

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