References
Abhyankar, S. S.,Algebraic Space Curves, Montréal Univ. Press, Montréal, 1971.
Atiyah, M. F. and Macdonald, I. G.,Introduction to Commutative Algebra, Addison-Wesley, Reading, 1969.
Deuring, M., ‘Lectures on the Theory of Algebraic Functions of One Variable’,Lecture Notes in Mathematics 314, Springer, Berlin, 1973.
Eichler, M.,Introduction to the Theory of Algebraic Numbers and Functions, Academic Press, New York, 1966.
Fried, M. and Jarden, M., ‘Stable Extensions and Fields with Global Density Property’,Canad. J. Math. 28 (1976), 774–787.
Fried, M. and Jarden, M., ‘Diophantine Properties of Subfields of Q’,Amer. J. Math. 100 (1978), 653–666.
Fried, M. and Jarden, M.,Field Arithmetic, Ergebnisse Math., III, Vol. 11, Springer, Heidelberg, 1986.
Grothendieck, A.,Éléments de Géometrie Algébrique IV, première partie,Publication Mathématiques, IHES 20 (1964), 101–355.
Grothendieck, A.,Éléments de Géometrie Algébrique IV, seconde partie,Publication Mathématiques, IHES 24 (1965), 5–231.
Grothendieck, A.,Éléments de Géometrie Algébrique IV, troisième partie,Publication Mathématiques, IHES 28 (1966), 5–255.
Hartshorne, R.,Algebraic Geometry, Graduate Texts in Mathematics 52, Springer, New York, 1977.
Hasse, H. and Schmidt, F. K., ‘Noch eine Begründung der Theorie der höheren Differential—quotienten in einem algebraischen Funktionenkörper einer Unbestimmten’,J. reine angew. Math. 177 (1937), 215–237.
Katz, N., ‘Pinceaux de Lefschetz: théorème d'existence’ inGroupes de Monodromie en Géométrie Algébrique SGA 7 II,Lecture Notes in Mathematics 340, Springer, Berlin, 1973.
Lang, S.,Introduction to Algebraic Geometry, Interscience Tracts in Pure and Applied Mathematics 5, Interscience Publishers, New York, 1958.
Lang, S.,Algebraic Number Theory, Addison-Wesley, Reading, 1956.
Matsumura, H.,Commutative Algebra, Benjamin, New York, 1970.
Madan, M. L. and Madden, D. L., ‘On the Theory of Congruence Function Fields’,Communications in Algebra 8 (180), 1687–1697.
Rosenlicht, M., ‘Equivalence Relations on Algebraic Curves’,Ann. Math. 56 (1952), 169–191.
Seidenberg, A.,Elements of the Theory of Algebraic Curves, Addison-Wesley, Reading, 1968.
Shafarevich, I. R.,Basic Algebraic Geometry, Grundl. math. Wiss. 213, Springer Berlin, 1977.
Weil, A.,Foundation of Algebraic Geometry, American Mathematical Society, Providence, 1962.
v.d. Waerden, B. L.,Einführung in die algebraische Geometrie, Springer, Berlin, 1939.
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This work was partially supported by a grant from the G.I.F, the German Israeli Foundation for Scientific Research and Development.
This work was partially done while the second author enjoyed the hospitality of the Institute for Advanced Study at Princeton, New Jersey.
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Geyer, WD., Jarden, M. On stable fields in positive characteristic. Geom Dedicata 29, 335–375 (1989). https://doi.org/10.1007/BF00572450
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DOI: https://doi.org/10.1007/BF00572450