A note on the Eisenbud-Mazur Conjecture

Abstract

The Eisenbud-Mazur conjecture states that given an equicharacteristic zero, regular local ring (R,m) and a prime ideal P⊂ R, we have that P(2)⊂eq mP. In this paper, we computationally prove that the conjecture holds in the special case of certain prime ideals in formal power series rings.

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