arXiv Analytics

Sign in

arXiv:1504.06671 [math.NT]AbstractReferencesReviewsResources

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

Sebastian Pauli, Brian Sinclair

Published 2015-04-24Version 1

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.

Categories: math.NT
Subjects: 11S15, 11Y40, 11S31
Related articles: Most relevant | Search more
arXiv:1512.06946 [math.NT] (Published 2015-12-22)
Counting Extensions of $\mathfrak{p}$-Adic Fields with Given Invariants
arXiv:1011.0357 [math.NT] (Published 2010-11-01, updated 2011-10-15)
Determination of the number of isomorphism classes of extensions of a $\kp$-adic field
arXiv:1803.08023 [math.NT] (Published 2018-03-21)
On enumerating extensions of p-adic fields with given invariants

Links

Toolbox