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arXiv · 1504.06671

Enumerating Extensions of $(\pi)$-Adic Fields with Given Invariants

Sebastian Pauli·Brian Sinclair
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Abstract

We give an algorithm that constructs a minimal set of polynomials defining all extension of a $(\pi)$-adic field with given, inertia degree, ramification index, discriminant, ramification polygon, and residual polynomials of the segments of the ramification polygon.

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Sebastian Pauli, Brian Sinclair. 2015-04-24. Enumerating Extensions of $(\pi)$-Adic Fields with Given Invariants. https://arxiv.org/abs/1504.06671

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