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The p-rank of Artin-Schreier curves. (English) Zbl 0321.14017


MSC:

14H30 Coverings of curves, fundamental group
14E20 Coverings in algebraic geometry
14H40 Jacobians, Prym varieties
14G99 Arithmetic problems in algebraic geometry; Diophantine geometry
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References:

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[3] Hasse Helmut, und Witt Ernst, Zyklische unverzweigte erweiterungskorper von primzahlgrad p uber einen algebraischen funktionenkorper der characteristic p, Monatsh. Math. vol 43 pp 477-492 (1936). · Zbl 0013.34102 · doi:10.1007/BF01707628
[4] Hurwitz, A., Analytische Gebilde mit eindeutigen trans formationen in sich, Math. Werke vol. 1, 391-430.
[5] Miller, Leonhard, Curves with invertible Hasse-Witt matrix, Math. Ann. vol. 197, pp. 123-127 (1972). · Zbl 0235.14009 · doi:10.1007/BF01419588
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[8] Serre, J.P., Cohomologie Galoisienne, Springer Lecture notes no. 5, (1965).
[9] Serre, J.P., Groupes Algébrique et Corps de Classes, Hermann, Paris, (1959). · Zbl 0097.35604
[10] Serre, J.P., Sur les corps Locaux à corps résiduel algébriquement clos., Bull. Soc. Math. France vol. 89, pp. 105-154, (1961). · Zbl 0166.31103
[11] Serre J.P., Sur la Topologie des Variétés Algébrique en caracteristic p., Mexico Symposium on Algebraic Topology, University of Mexico, pp. 24-53(1956).
[12] Serre, J.P., L’Operation de Cartier (Private Notes at College de France, (1956)).
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