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15
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When can an algebraic number be approximated by a $p$-adic number?

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#extension-field #p-adic-number-theory #localization #function-fields #hensels-lemma
306
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Primitive elements of finite fields

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#field-theory #finite-fields #extension-field #primitive-roots #function-fields
119
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Inverse element in the function field of an affine variety

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#algebraic-geometry #affine-geometry #function-fields #affine-varieties
166
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Birational morphisms of surfaces

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#algebraic-geometry #function-fields #birational-geometry
186
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Show that local rings on a curve are PID

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#algebraic-geometry #elliptic-curves #principal-ideal-domains #local-rings #function-fields
117
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Connexion between affine and projective variety defined by a homogeneous polynomial

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#algebraic-geometry #conic-sections #function-fields
152
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Notes on global function fields

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#algebraic-number-theory #finite-fields #arithmetic-geometry #function-fields
18
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Computing the p-rank of Divisor class group for function field

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#algorithms #divisors-algebraic-geometry #function-fields #positive-characteristic #analysis-of-algorithms
124
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Fixed field of the linear fractional maps ($X \to \frac{aX+b}{cX+d}$) of $k(X)$ where $k$ is finite.

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#abstract-algebra #field-theory #galois-theory #finite-fields #function-fields
102
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Generators of the function field of an elliptic curve

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#algebraic-geometry #elliptic-curves #function-fields
71
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Two definitions of places on a curve

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#algebraic-geometry #algebraic-curves #plane-curves #function-fields
19
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Possible typo in Artin-Schreier generator, Stichtenoth's book

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#number-theory #function-fields #artin-schreier-extension
24
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$n$-torsion parts of rank 2 Drinfeld modules and elliptic curves over function fields

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#number-theory #elliptic-curves #function-fields
68
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Relation Between Dimension of Rational AG Code and Degree of Associated Place

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#algebraic-geometry #coding-theory #function-fields
64
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Why is the Function Field of the Modular Curve $X(N)$ defined over $\mathbb{Q}(\mu_n)$?

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#number-theory #modular-forms #arithmetic-geometry #function-fields

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