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15
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There is birational and integral morphism between glued curve and original curve

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#algebraic-geometry #elliptic-curves #schemes #algebraic-curves #arithmetic-geometry
28
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Definition of the reduction map on isogenies

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#number-theory #algebraic-number-theory #elliptic-curves #arithmetic-geometry
95
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Is the Galois action on $m$-torsion of an elliptic curve transitive?

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#galois-theory #elliptic-curves #arithmetic-geometry
49
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What is the reduction of the Weil pairing?

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#algebraic-number-theory #elliptic-curves #arithmetic-geometry #complex-multiplication
85
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n-torsion points along a family of elliptic curves

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#algebraic-geometry #elliptic-curves #arithmetic-geometry
35
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Calculating the image of 4-torsion points under the map that maps 3-torsion points to roots of unity

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#algebraic-geometry #elliptic-curves #arithmetic-geometry
36
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Why $Br(Spec(K))=Br(K)$ holds?

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#number-theory #arithmetic-geometry #class-field-theory #brauer-group
48
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What is the map $f^*: Br(Y)\to Br(X)$?

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#algebraic-geometry #schemes #arithmetic-geometry #brauer-group
152
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Notes on global function fields

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#algebraic-number-theory #finite-fields #arithmetic-geometry #function-fields
92
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Why are Jacobian varieties important?

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#number-theory #algebraic-geometry #elliptic-curves #modular-forms #arithmetic-geometry
61
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Order of $2$-tosrion of elliptic curve $y^2=x^3+17x$ is not bigger than $2$ unless $K=\Bbb{Q}(\sqrt{-17})$

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#number-theory #algebraic-geometry #elliptic-curves #arithmetic-geometry
89
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Natural exact sequence of Selmer groups

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#number-theory #elliptic-curves #exact-sequence #arithmetic-geometry
132
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Applications of the mobius inversion in algebraic or arithmetic geometry

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#algebraic-geometry #algebraic-number-theory #arithmetic-geometry #mobius-inversion
75
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Faithful representations of integral models

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#number-theory #algebraic-geometry #arithmetic-geometry #reductive-groups
152
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Does $2y^2=x^4-17$ have solution in $\Bbb{Q}(\sqrt{-3})$?

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#number-theory #computer-science #diophantine-equations #elliptic-curves #arithmetic-geometry

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