The paper solves completely questions of Lang and Weissauer, producing counterexamples to conjectures, by exhibiting fields of algebraic numbers with infinitely many distinct valuations but not hilbertian. Other results on hilbertian fields are obtained.
Values of rational functions on non-hilbertian fields and a question of Weissauer
ZANNIER, UMBERTO;
1998
Abstract
The paper solves completely questions of Lang and Weissauer, producing counterexamples to conjectures, by exhibiting fields of algebraic numbers with infinitely many distinct valuations but not hilbertian. Other results on hilbertian fields are obtained.File in questo prodotto:
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