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$(\varprojlim_n O_K/p^n) \otimes_{O_K} O_L \cong \varprojlim_n (O_K/p^n \otimes_{O_K} O_L)$

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#algebraic-number-theory #valuation-theory
34
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Elliptic curves - mod $\mathcal{M}$ map

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#abstract-algebra #field-theory #elliptic-curves #valuation-theory
64
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embed roots of unity from valued field into its residue field

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#algebraic-number-theory #roots-of-unity #valuation-theory #local-field
26
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associate a character to an abelian extension in local class field theory

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#algebraic-number-theory #valuation-theory #class-field-theory #local-field
37
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Prove the p-adic valuation of n! equals a floor function sum

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#number-theory #valuation-theory
43
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Convergence of $\left \{c^{q^k}\right \}$ with finite residue field with $q$ elements

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#abstract-algebra #field-theory #valuation-theory
61
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Why is the valuation of a separable closure equal to $\mathbb{Q}$?

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#abstract-algebra #galois-theory #valuation-theory #local-field
65
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Why is (y) a uniformizer for $y^2 = x^3 + x$ at (0,0) and why is its order equal to 1?

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#algebraic-geometry #valuation-theory #function-fields
49
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What is the connection between the valuation of a polynomial of a function filed of a curve and the corresponding laurent series?

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#abstract-algebra #algebraic-geometry #elliptic-curves #valuation-theory
164
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Definitions of valuations in terms of totally ordered group

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#abstract-algebra #number-theory #algebraic-number-theory #valuation-theory
166
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Number of places over a number field

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#number-theory #algebraic-number-theory #valuation-theory #local-field
32
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Surjectivity of the derivation map on Washnitzer Algebra

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#number-theory #algebraic-number-theory #valuation-theory
144
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Valuation rings are conjugate

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#abstract-algebra #commutative-algebra #galois-theory #extension-field #valuation-theory
128
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Roots of unit in a DVR

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#abstract-algebra #roots-of-unity #valuation-theory #hensels-lemma
476
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Extension of a discrete valuation on a complete field

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#number-theory #algebraic-number-theory #valuation-theory

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