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Help needed in understanding the proof from Silverman of why $L/K$ is unramified at $v$

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#algebraic-number-theory #elliptic-curves #arithmetic-geometry
74
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Picard numbers of ordinary varieties

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#algebraic-geometry #arithmetic-geometry
240
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smooth curve of genus $0$ and Brauer group

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#algebraic-geometry #algebraic-curves #arithmetic-geometry #brauer-group
89
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For every function field $F/K$ there exists $x\in F$ with $F/K(x)$ separable

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#field-theory #arithmetic-geometry #function-fields
36
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$\mathcal{O}_S$ holomorphy ring, $S$ containing almost all places $\Rightarrow O_S=K[x_1,...,x_r]$

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#commutative-algebra #arithmetic-geometry #function-fields
66
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Checking the Hasse-Weil bound for genus zero

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#algebraic-geometry #arithmetic-geometry #function-fields
75
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Two different definitions of pro-étale morphism over $\operatorname{Spa(K,\mathcal{O}_K)}$

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#p-adic-number-theory #arithmetic-geometry
47
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How is $mE(K)$ injected into the reduced curve $\tilde{E}(k)$ by the reduction map?

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#elliptic-curves #arithmetic-geometry
48
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The determinant is not zero.

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#algebraic-geometry #arithmetic-geometry
52
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Need help understanding notation $[k]X$.

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#algebraic-geometry #projective-geometry #arithmetic-geometry
276
Views

Image of $G_K\rightarrow GL_n(\mathbb{C}_p)$ for a closed subgroup?

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#algebraic-number-theory #p-adic-number-theory #arithmetic-geometry
177
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$p$ adic Galois group and $p$ adic logarithm

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#algebraic-number-theory #p-adic-number-theory #arithmetic-geometry #galois-representations
43
Views

Silverman's AEC, X.4: How to construct local version of fundamental exact sequence?

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#algebraic-number-theory #elliptic-curves #arithmetic-geometry
32
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Height of system of equations in terms of height of a variety

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#algebraic-geometry #projective-geometry #arithmetic-geometry #projective-varieties
90
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$1-\phi$ is surjective for a $\phi$-module?

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#ring-theory #commutative-algebra #p-adic-number-theory #arithmetic-geometry #galois-representations

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