Enumerating Extensions of (π)-Adic Fields with Given Invariants
classification
🧮 math.NT
keywords
ramificationadicgivenpolygonpolynomialsalgorithmconstructsdefining
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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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