Tag
ramification
4 resources tagged “ramification” across the knowledge library.
4 items
Article7 Aug 2026Discriminants and Integral BasesThe discriminant of a basis, the field discriminant, and the index-squared relation that governs maximal order computation.2 min readRead MoreArticle7 Aug 2026Newton Polygon Methods for Prime DecompositionUsing Newton polygons to decompose primes locally, handling the cases where factoring modulo p is insufficient.2 min readRead MoreArticle7 Aug 2026p-adic Root Finding and Newton PolygonsFinding roots in p-adic fields by lifting, and reading ramification structure off the Newton polygon of a polynomial.2 min readRead MoreArticle7 Aug 2026Prime Decomposition: Theory and RamificationHow rational primes factor in the maximal order, ramification indices and residue degrees, and the degree relation that constrains them.2 min readRead More