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I am looking for a basic reference for Jacobians of algebraic curves in characteristic $p>0$. I just want basic facts about the relation between the curve and its Jacobian.

I dont want to assume familiarity with the case of characteristic $0$.

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Weil, André Variétés abéliennes et courbes algébriques. (French) Actualités Sci. Ind., no. 1064 = Publ. Inst. Math. Univ. Strasbourg 8 (1946). Hermann & Cie., Paris, 1948. 165 –  Felipe Voloch May 2 '12 at 14:40
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Milne has a nice article in the proceedings of a conference on Arithmetic Geometry (1984) for those of us not fluent in Weil's Foundations. –  Donu Arapura May 2 '12 at 14:48
    
I think the editors are Cornell and Silverman. –  Donu Arapura May 2 '12 at 14:55
    
this question is related. mathoverflow.net/questions/23848/… –  roy smith May 2 '12 at 16:26
    
here is a link to notes by Milne, especially if you do not have access to the volume Donu referenced. jmilne.org/math/CourseNotes/AV.pdf –  roy smith May 2 '12 at 18:39
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