论文信息 - On Hilbert's Irreducibility Theorem

On Hilbert's Irreducibility Theorem

Abstract A method for obtaining very precise results along the lines of the Hilbert Irreducibility Theorem is described and then applied to a special case. In addition, the relationship of the irreducibility theorem to other tools of diophantine analysis is investigated. In particular, we give a proof of the irreducibility theorem that uses only Noether's lemma and the fact that an absolutely irreducible curve has a rational point over a finite field of large order.

Michael D. Fried | M. Fried

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