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Etale Ring Homomorphism

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#algebraic-geometry #commutative-algebra #algebraic-number-theory #ramification
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Motivation for considering the upper numbering of ramification groups

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#algebraic-number-theory #ramification
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Completion with respect to conjugate valuations

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#number-theory #algebraic-number-theory #ramification
196
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On a tamely ramified extension of $\mathbb{Q}_{p}$

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#number-theory #p-adic-number-theory #ramification
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If $E$ has additive reduction at $v$ then $H^0(I_v,E[p^\infty])$ is finite

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#number-theory #elliptic-curves #arithmetic-geometry #abelian-varieties #ramification
402
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Tamely ramified extensions.

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#number-theory #algebraic-number-theory #valuation-theory #ramification
437
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Maximal tamely ramified abelian extension of $\mathbb{Q}_p$ is finite over the maximal unramified extension $\mathbb{Q}_p^{nr}$?

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#p-adic-number-theory #valuation-theory #ramification
142
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Contradicting arguments regarding the ramification index of the splitting field of $X^3 - 135X - 270$ over $\mathbb{Q}_5$

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#abstract-algebra #number-theory #algebraic-number-theory #p-adic-number-theory #ramification
91
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A question about the inertia index of prime ideals in $\mathbb{C}(t)$

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#algebraic-number-theory #ramification
185
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Step in proof of Hasse-Arf theorem on ramification groups

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#number-theory #algebraic-number-theory #class-field-theory #local-field #ramification
89
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Completion of abelian extension

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#number-theory #algebraic-number-theory #ramification
4.2k
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What is the definition for totally ramified extension for a global field?

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#number-theory #terminology #algebraic-number-theory #ramification
1.3k
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Directly showing that a prime is unramified iff the inertia group is trivial

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#reference-request #galois-theory #algebraic-number-theory #ramification
390
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Decomposition group Daniel A Marcus Theorem 28

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#galois-theory #algebraic-number-theory #ramification
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Decomposition group and inertia group

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#algebraic-number-theory #ramification

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