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15
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Mordell's conjecture for curves over the field of algebraic numbers

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#number-theory #elliptic-curves #algebraic-curves #arithmetic-geometry #abelian-varieties
61
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Galois group and trace form

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#algebraic-geometry #field-theory #galois-theory #bilinear-form #arithmetic-geometry
255
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Galois representation, Tate twist

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#algebraic-geometry #arithmetic-geometry
170
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Can the Selmer curve be viewed as an elliptic curve?

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#algebraic-geometry #elliptic-curves #arithmetic-geometry
115
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Divisors on $\mathrm{Spec}(\mathbb{Z})$ and normed-modules

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#algebraic-geometry #algebraic-number-theory #arithmetic-geometry
83
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Build a formula that determines the number of stickers per sheet

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#algebra-precalculus #area #arithmetic-geometry
83
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Local monodromy of Kummer Sheaves

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#arithmetic-geometry #etale-cohomology #local-systems #monodromy
47
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The evaluation map of Brauer-Manin obstruction is zero?

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#algebraic-geometry #arithmetic-geometry
94
Views

Can an algebraic variety be defined over a larger field?

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#algebraic-geometry #field-theory #curves #arithmetic-geometry
72
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Showing that the definition of a morphism from $V_1$ to $V_2$ in Silverman is well-defined

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#algebraic-geometry #elliptic-curves #projective-geometry #arithmetic-geometry
291
Views

The Hasse invariant at cuspidal elliptic curves in a generically ordinary family

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#number-theory #algebraic-geometry #elliptic-curves #arithmetic-geometry #positive-characteristic
84
Views

Lifting the connected-étale sequence of a finite group scheme over a residue field

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#elliptic-curves #arithmetic-geometry #abelian-varieties #group-schemes
47
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Classifying field extensions of of function field of degree $2$

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#field-theory #algebraic-curves #arithmetic-geometry
64
Views

The cohomology of the Jacobian and its subvariety

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#algebraic-geometry #complex-geometry #arithmetic-geometry #abelian-varieties #hodge-theory
64
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Definition of an elliptic curve $E$ over $\Bbb{C}$ is defined over a subfield $⊆ℂ$

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#number-theory #algebraic-geometry #elliptic-curves #arithmetic-geometry

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