Hilbertian fields and Hilbert's irreducibility theorem

Abstract : Hilbert's irreducibility theorem plays an important role in inverse Galois theory. In this article we introduce Hilbertian fields and present a clear detailed proof of Hilbert's irreducibility theorem in the context of these fields.
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https://hal.archives-ouvertes.fr/hal-01883575
Contributor : Laurent Zwald <>
Submitted on : Friday, September 28, 2018 - 1:01:27 PM
Last modification on : Thursday, July 11, 2019 - 11:42:05 AM
Long-term archiving on : Monday, December 31, 2018 - 10:48:07 AM

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  • HAL Id : hal-01883575, version 1
  • ARXIV : 1809.10977

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Rodney Coleman, Laurent Zwald. Hilbertian fields and Hilbert's irreducibility theorem. 2018. ⟨hal-01883575⟩

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