Sunto.
Vengon studiate, dal punto di vista aritmetico, alcune varietà algebriche possedenti trasformazioni birazionali in sè
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Arithmetical methods are, it seems, incapable of dealing with the problem in all its generality; thus they cannot in general reveal the existence of self-collineations, or continuous transformations, or transformations possessing certain kinds of exceptional elements (see § 18).
« Rend. Palermo », 30, (1910), p. 265. See alsoF. R. Sharpe andV. Snyder, « Trans. Amer. Math. Soc. », 1914–15; andT. G. Room, « Proc. Roy. Soc. » A 193, (1918), p. 25.
L. S. Goddard, « Proc. Camb. Phil. Soc. », 44, (1948), p. 43.
« Rend. Lincei », (5), 15 (1906)2, p. 665.
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Scritti matematici offerti aL. Berzolari, (1936), p. 345.
Jessop,Quartic Surfaces, (Cambridge, 1916), Ch. IX.
SeeEnriques-Chisini,Teoria geometrica delle equazioni, Il, p. 191.
F. Severi, « Memorie Acc. Torino, (2), 52, (1903), p. 61 (§ 29).
J. A. Todd, « Proc. Cambridge Phil. Soc. », 26, (1930), p. 323.
The correspondence between a special type of quintic surface and Jacobian surface of quadrics has been studied by the writer: « Proc. London Math. Soc. », (2), 30, (1930), p. 425.
E. Ciani, « Rend. Palermo », 28, (1909), p. 217.
This primal has been studied by the writer: see « Proc. London Math. Soc. », (2) 30, (1929), p. 118.
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Roth, L. Some arithmetical questions in the theory of the base. Annali di Matematica 27, 115–134 (1948). https://doi.org/10.1007/BF02415563
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DOI: https://doi.org/10.1007/BF02415563