STNB2025 (38th edition)
Classic Hilbertian fields and Hilbertian rings
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Abstract
The goal of this lecture is to review the known fact that global fields and functions fields of several variables are Hilbertian. Along the way, we also define the notion of Hilbertian ring, exhibiting some examples. The main reference for this lecture will be \cite[Chapter 14]{FriedJardenFieldArithmeticbook}.
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