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15
284
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Lorenzini's “Invitation to arithmetic geometry”, 2nd exercise

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#algebraic-number-theory #arithmetic-geometry
190
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Places and schemes

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#number-theory #algebraic-geometry #algebraic-number-theory #arithmetic-geometry #valuation-theory
467
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Geometrically irreducible schemes

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#algebraic-geometry #schemes #arithmetic-geometry
186
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Relation between the selmer group and an etale cohomology group.

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#algebraic-number-theory #elliptic-curves #arithmetic-geometry #galois-cohomology
85
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Reduction of elliptic curves defines over general field

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#abstract-algebra #number-theory #algebraic-geometry #elliptic-curves #arithmetic-geometry
55
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Elliptic curves over extension fields with Galois group the Monster

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#reference-request #finite-groups #galois-theory #arithmetic-geometry
342
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A curve over a finite field with apparently no points

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#algebraic-geometry #finite-fields #elliptic-curves #arithmetic-geometry
48
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Motivation and Interpretation of Classical and Geometric Satake Equivalence

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#arithmetic-geometry #langlands-program
55
Views

Is Bhargava multidimensional matrices and elliptic curves methods applying also to finite fields?

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#number-theory #algebraic-geometry #arithmetic-geometry
59
Views

Divisibility properties of point counts for elliptic curves over finite fields

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#number-theory #algebraic-geometry #arithmetic-geometry
143
Views

Change of variables in the Weierstrass form $y^2=x^3+a_2x^2+a_4x+a_6$ for the generic fiber

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#algebraic-geometry #elliptic-curves #arithmetic-geometry
61
Views

Frobenius between $\mathbb{Z}_p[p^{1/p^m}]$-modules etale

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#algebraic-geometry #algebraic-number-theory #p-adic-number-theory #arithmetic-geometry
82
Views

Kolyvagin's Euler systems and their properties

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#number-theory #algebraic-number-theory #arithmetic-geometry #cyclotomic-fields
52
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Relations between good ordinary reduction for $E/\mathbb{Q}$ and for $E/K$ with $K$ number field

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#number-theory #elliptic-curves #arithmetic-geometry #abelian-varieties
50
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If $E$ has additive reduction at $v$ then $H^0(I_v,E[p^\infty])$ is finite

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#number-theory #elliptic-curves #arithmetic-geometry #abelian-varieties #ramification

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