Ramification groups in Artin-Schreier-Witt extensions

DOI10.5802/jtnb.514zbMath1207.11109OpenAlexW2333746212MaRDI QIDQ819871

Lara Thomas

Publication date: 30 March 2006

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2005__17_2_689_0

zbMATH Keywords

ramification groups for pro-\(p\) abelian extensions

Mathematics Subject Classification ID

Ramification and extension theory (11S15) Class field theory; (p)-adic formal groups (11S31)

Related Items (18)

Discriminant-stability in \(p\)-adic Lie towers of number fields ⋮ Wild tame-by-cyclic extensions ⋮ On the compositum of wildly ramified extensions ⋮ Schmid's formula for higher local fields ⋮ Fiercely ramified cyclic extensions of \(p\)-adic fields with imperfect residue field ⋮ A valuation criterion for normal basis generators in equal positive characteristic ⋮ The Oort conjecture on lifting covers of curves ⋮ Duality for relative logarithmic de Rham-Witt sheaves on semistable schemes over \(\mathbb F_qt\) ⋮ Ramification in cyclic extensions of degree \(p^2\) of complete discrete valuation fields of prime characteristic \(p\) with imperfect residue field ⋮ Witt vectors. Part 1 ⋮ THE RAMIFICATION GROUPS AND DIFFERENT OF A COMPOSITUM OF ARTIN–SCHREIER EXTENSIONS ⋮ Convergence Polygons for Connections on Nonarchimedean Curves ⋮ Conjugacy classes of series in positive characteristic and Witt vectors ⋮ Galois scaffolds for cyclic \(p^n\)-extensions in characteristic \(p\) ⋮ Ramification of higher local fields, approaches and questions ⋮ Genus growth in $\mathbb {Z}_p$-towers of function fields ⋮ Coates–Wiles Homomorphisms and Iwasawa Cohomology for Lubin–Tate Extensions ⋮ Computation of Mordell–Weil bases for ordinary elliptic curves in characteristic two

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