Birational automorphisms of higher-dimensional algebraic varieties.
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Pukhlikov, Aleksandr V. (1998)
Documenta Mathematica
Marek Karaś (2009)
Bulletin of the Polish Academy of Sciences. Mathematics
We present an example of finite mappings of algebraic varieties f:V → W, where V ⊂ kⁿ, , and such that and gdeg F = 1 < gdeg f (gdeg h means the number of points in the generic fiber of h). Thus, in some sense, the result of this note improves our result in J. Pure Appl. Algebra 148 (2000) where it was shown that this phenomenon can occur when V ⊂ kⁿ, with m ≥ n+2. In the case V,W ⊂ kⁿ a similar example does not exist.
Endre Szabó (1996)
Mathematische Annalen
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