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15
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Degree of a polynomial over an algebraic curve (in particular Edwards curve)

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#number-theory #algebraic-geometry #arithmetic-geometry
75
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Why are values of regular rational maps well-defined?

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#abstract-algebra #algebraic-geometry #projective-space #arithmetic-geometry #projective-varieties
128
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locally constant $\mathbb{Q}_l$-sheaf from an $A$-torsor.

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#algebraic-geometry #algebraic-number-theory #arithmetic-geometry
62
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Residual separability of birational morphisms

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#abstract-algebra #algebraic-geometry #arithmetic-geometry #birational-geometry
667
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Has anyone got a reference as to why étale Galois representations are de Rham?

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#representation-theory #p-adic-number-theory #arithmetic-geometry #hodge-theory #galois-representations
610
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Intuition behind ramification index of a map between smooth curves.

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#number-theory #algebraic-geometry #elliptic-curves #arithmetic-geometry
37
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Absolute value of roots of bad Euler factors.

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#number-theory #arithmetic-geometry #l-functions
281
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Applications of mono-anabelian geometry

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#number-theory #arithmetic-geometry
295
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Quadratic Twists of Hyperelliptic Curve

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#number-theory #algebraic-geometry #elliptic-curves #algebraic-curves #arithmetic-geometry
108
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How to define the natural map from $\operatorname{Aut}(E)$ to $\operatorname{Aut}(E[m])$?

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#elliptic-curves #arithmetic-geometry
18
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How to show that that the natural map $G_{K^al/K} \to Aut(E[m])$ is a group representation?

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#representation-theory #elliptic-curves #arithmetic-geometry
473
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About the $div(f)$ given a curve $C$

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#number-theory #algebraic-geometry #elliptic-curves #arithmetic-geometry
144
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In the rational function field $K(x)|K$, the place at infinity $P_\infty$ has degree $1$

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#field-theory #arithmetic-geometry #function-fields
62
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Geometry behind the definition of Central simple algebra

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#algebraic-geometry #arithmetic-geometry
270
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Blow up of the arithmetic surface $xy = t^e$

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#algebraic-geometry #arithmetic-geometry #blowup

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