Eliminating wild ramification

DOI10.1007/BF01390208zbMath0254.13008MaRDI QIDQ2558334

Helmut P. Epp

Publication date: 1973

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142195

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Ramification problems in algebraic geometry (14E22) Curves in algebraic geometry (14H99)

Related Items (33)

TRANSPORT PARALLÈLE ET CORRESPONDANCE DE SIMPSON -ADIQUE ⋮ Wild ramification and the characteristic cycle of an ℓ-adic sheaf ⋮ Smoothness, semi-stability and alterations ⋮ An analogue of the field-of-norms functor and of the Grothendieck conjecture ⋮ Wild ramification kinks ⋮ Vanishing cycles, ramification of valuations, and class field theory. (With the collaboration of Takeshi Saito.) ⋮ Recent results in the theory of constant reductions ⋮ Deformation Theory and the Tame Fundamental Group ⋮ Étale fundamental groups of affinoid 𝑝-adic curves ⋮ Ramification and nearby cycles for \(\ell\)-adic sheaves on relative curves ⋮ Finiteness theorems for vanishing cycles of formal schemes ⋮ Third Galois cohomology group of function fields of curves over number fields ⋮ A note on Sen's theory in the imperfect residue field case ⋮ LOCAL EXTENSIONS WITH IMPERFECT RESIDUE FIELD ⋮ A classification of Artin-Schreier defect extensions and characterizations of defectless fields ⋮ Comparison of classifications of two-dimensional local type II fields ⋮ Vector bundles on p-adic curves and parallel transport ⋮ On the \(p\)-dimension of fields ⋮ The Eisenstein constant ⋮ Conductors of wild extensions of local fields, especially in mixed characteristic $(0,2)$ ⋮ Galois covers of type \((p,\cdots,p)\), vanishing cycles formula, and the existence of torsor structures ⋮ Fiercely ramified cyclic extensions of \(p\)-adic fields with imperfect residue field ⋮ Cyclic extensions and the local lifting problem ⋮ Towards explicit description of ramification filtration in the 2-dimensional case ⋮ Stable modification of relative curves ⋮ Elimination of ramification I: The generalized stability theorem ⋮ Elimination of ramification. II: Henselian rationality ⋮ Local Fourier transform and epsilon factors ⋮ Noetherianity and privilege in \(p\)-adic analytic geometry ⋮ Explicit constructions and the arithmetic of local number fields ⋮ Finiteness of abelian fundamental groups with restricted ramification ⋮ Ramification of higher local fields, approaches and questions ⋮ SUR LES COMPOSANTES CONNEXES D’UNE FAMILLE D’ESPACES ANALYTIQUES -ADIQUES

Cites Work

• The irreducibility of the space of curves of a given genus
• Degenerate fibres and stable reduction of curves
• On the Structure and Ideal Theory of Complete Local Rings
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