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Multivariate Hensel's Lemma

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#algebraic-number-theory #finite-fields #p-adic-number-theory #hensels-lemma
65
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other multivariable version of Hensel's Lemma

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#number-theory #p-adic-number-theory #hensels-lemma
158
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Question about Hensel's Lemma

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#solution-verification #hensels-lemma
368
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Two versions of Hensel's lemma

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#number-theory #algebraic-number-theory #p-adic-number-theory #local-field #hensels-lemma
110
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Using Hensel lemma to find roots in valuation rings

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#algebraic-number-theory #local-field #hensels-lemma
70
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Solving congruences with cubics

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#elementary-number-theory #modular-arithmetic #hensels-lemma
80
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Ambiguity in definition of a henselian ring?

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#algebraic-geometry #commutative-algebra #schemes #hensels-lemma #neron-model
132
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Silverman Hensel's Lemma for Selmer and Sha

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#number-theory #algebraic-geometry #elliptic-curves #hensels-lemma
101
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Equivalent characterizations of Henselian Rings (Theorem 4.2 in James Milne's "Étale Cohomology")

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#algebraic-geometry #etale-cohomology #hensels-lemma
114
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Application of Hensel's lemma to $\mathbb{Z}_3[[j]]$

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#number-theory #commutative-algebra #hensels-lemma #formal-completions
174
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Lift roots of a polynomial from $\mathbb{F}_p$ to $\mathbb{Q}_p$

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#number-theory #p-adic-number-theory #valuation-theory #hensels-lemma
91
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On Hensel lifting of a particular quadratic polynomial mod $q^2$ where $q$ is a prime

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#number-theory #polynomials #modular-arithmetic #quadratics #hensels-lemma
71
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Find 3rd root in $\mathbb{Q}_3$ using Hensels Lemma

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#p-adic-number-theory #hensels-lemma
94
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Hensel's Lemma for $f(x)= x^5 + 2x^4 + 3x^2 -x + 887$

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#number-theory #hensels-lemma
131
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Find a polynomial of the form $F(x,y,z)$ of degree $3$ such that $F(a,b,c) = 0 \pmod{5}$ iff $a,b,c= 0 \pmod{5}$

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#number-theory #p-adic-number-theory #hensels-lemma

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