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References
M. Artin G. Winters, Degenerate fibers and stable reduction of curves, Topology Vol 10 p 373–383.
F. De Meyer E. Ingraham, Separable algebras over commutative rings, LNM 181 Springer Verlag, Berlin (1970).
S. Lang J. Tate, Principal homogeneous space over abelian varieties, American Journal of Mathematics, Vol 80, p 659–684.
J. Lipman, Rational singularities, Publ. Inst. Hautes Etudes Sci., Paris 36 (1969) p 195–280.
A.P. Ogg, Cohomology of abelian varieties over function fields, Annals of Mathematics, vol 76 (1962) p 185–212.
A. Schofield, M. Van den Bergh, Generic constructions (tentative title), to appear.
I.R. Shafarevitch, Principal homogeneous spaces defined over function fields, American Mathematical Society Transactions, Series 2, vol 37, p 85–114
M. Van den Bergh, Algebraic subfields and splitting fields of division algebras over function fields, Thesis, Antwerp (1985).
J.v. Geel, Primes and value functions, Thesis, Antwerp (1980).
J. v. Geel M. v.d. Bergh, A duality theorem for orders in central simple algebras over function fields, Journal of Pure and Applied Algebra, 31 (1984) 227–239.
J.v. Geel M.v.d. Bergh, Algebraic elements in division algebras over function fields of curves, to appear.
A. Weil, Courbes algébriques et variétés abéllienes, Hermann, Paris 1971.
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© 1986 Springer-Verlag
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Van den Bergh, M. (1986). The algebraic index of a division algebra. In: van Oystaeyen, F.M.J. (eds) Ring Theory. Lecture Notes in Mathematics, vol 1197. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076326
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DOI: https://doi.org/10.1007/BFb0076326
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