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Non-conservative plane quartic curves in characteristic five

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References

  1. ANGERMÜLLER, G.,Die Wertehalbgruppe einer ebenen irreduziblen algebroiden Kurve, Math. Z.153 (1977), 267–282

    Article  MATH  MathSciNet  Google Scholar 

  2. BEDOYA, H., STÖHR, K.O.,An algorithm to calculate discrete invariants of singular primes in function fields, J. of Number Theory27 (1987), 310–323

    Article  MATH  Google Scholar 

  3. CHEVALLEY, C.,Introduction to the theory of algebraic functions of one variable, American Math. Society (1951), New York

    MATH  Google Scholar 

  4. GORENSTEIN, D.,An arithmetic theory of adjoint plane curves, Trans. Amer. Math. Soc.25 (1952), 414–436

    Article  MathSciNet  Google Scholar 

  5. HUSEMÖLLER, D.,Elliptic Curves, Springer-Verlag (1986), New York, Berlin, Heidelberg

    Google Scholar 

  6. ROQUETTE, P.,Zur Theoric der Konstantenreduktion algebraischer Manigfaltigkeiten, J. Reine Angew. Math.200 (1958), 1–44

    MATH  MathSciNet  Google Scholar 

  7. ROQUETTE, P.,Über den Singularitätsgrad von Teilringen in Funktionenkörpern, Math. Z.77 (1961), 228–240

    Article  MATH  MathSciNet  Google Scholar 

  8. ROSENLICHT, M.,Equivalence relations on algebraic curves, Ann. of Math. (2)56 (1952), 169–191

    Article  MathSciNet  Google Scholar 

  9. SERRE, J.-P.,Cohomologie Galoisienne, Springer-Verlag. Lecture Notes in Math.5 (1973), Berlin. Heidelberg, New York

  10. SERRE, J.-P.,Groupes algébriques et corps de classes, Hermann (1959), Paris

    MATH  Google Scholar 

  11. STICHTENOTH, H.,Zur Konservativität algebraischer Funktionenkörper, J. Reine Angew. Math.301 (1978), 30–45

    MATH  MathSciNet  Google Scholar 

  12. STÖHR, K.O.,On singular primes in function fields, Arch. Math.50 (1988), 156–163

    Article  MATH  Google Scholar 

  13. STÖHR, K.O., VILLELA, M.L.T.,Non-conservative function fields of genus (p+1)/2, Manuscripta Math. to appear

  14. STÖHR, K.O., VOLOCH, J.F.,Weierstrass points and curves over finite fields, Proc. London Math. Soc. (3)52 (1986), 1–19

    Article  MATH  MathSciNet  Google Scholar 

  15. STÖHR, K.O., VOLOCH, J.F.,A formula for the Cartier operator on plane algebraic curves, J. Reine Angew. Math.377 (1987), 49–64

    MATH  MathSciNet  Google Scholar 

  16. SZPIRO, L.,Séminaire sur les pinceaux de courbes de genre au moins deux, Astérisque86 (1981)

  17. TATE, J.,Genus change in inseparable extensions of function fields, Proc. Amer. Math. Soc.3 (1952), 400–406

    Article  MATH  MathSciNet  Google Scholar 

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Stöhr, K.O. Non-conservative plane quartic curves in characteristic five. Manuscripta Math 66, 183–204 (1990). https://doi.org/10.1007/BF02568490

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