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Help needed in clarification of a Question in Silverman's exercise.

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#elliptic-curves #arithmetic-geometry
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An element from a coordinate ring inducing a function

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#elliptic-curves #arithmetic-geometry #affine-varieties
196
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For positive genus, $\ell(A)=\deg(A)+1\Leftrightarrow A$ is a principal divisor

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#algebraic-curves #arithmetic-geometry #function-fields
98
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$F/K$ with a rational place $\Rightarrow F=K(x,y)$ with $[F:K(x)]=[F:K(y)]=2g+1$

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#algebraic-geometry #arithmetic-geometry #function-fields
88
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Analogues of proper-smooth basechange for etale cohomology

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#algebraic-geometry #arithmetic-geometry #etale-cohomology
199
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Why (Arakelov) intersection number well-defined

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#algebraic-geometry #algebraic-number-theory #arithmetic-geometry
123
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smallest field extension with rational points

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#algebraic-geometry #algebraic-number-theory #arithmetic-geometry
142
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How does an isogeny between elliptic curves induces a homomorphism between corresponding formal groups? (Silverman AEC)

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#elliptic-curves #arithmetic-geometry
58
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Weil pairing exact sequence split for an elliptic curve

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#elliptic-curves #arithmetic-geometry #abelian-varieties
84
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Etale cohomology and restricted direct product

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#algebraic-number-theory #arithmetic-geometry #etale-cohomology
360
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why complitcated construction of PD-defferential operator in Berthelot and Ogus's book

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#algebraic-geometry #arithmetic-geometry
4.4k
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What is the status of the purported proof of the ABC conjecture?

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#number-theory #arithmetic-geometry
110
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The characteristic polynomial of Frobenius of an RM curve

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#algebraic-geometry #arithmetic-geometry #abelian-varieties
523
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How does $\text{Gal}(L/K)$ act on the automorphism group of an elliptic curve?

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#number-theory #algebraic-geometry #elliptic-curves #arithmetic-geometry
178
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hasse principle for a number field

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#number-theory #arithmetic-geometry

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