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Can we descend field extensions of prime degree of number fields to number fields of the same degree

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#number-theory #algebraic-geometry #prime-numbers #algebraic-number-theory #arithmetic-geometry
1.9k
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Tate conjecture for Fermat varieties

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#algebraic-geometry #representation-theory #arithmetic-geometry #etale-cohomology
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Who are considered to be masters of arithmetic geometry?

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#soft-question #arithmetic-geometry
107
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CAS for counting points of varieties over finite fields

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#reference-request #finite-fields #math-software #arithmetic-geometry #computer-algebra-systems
421
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Conditions for a curve to be defined over a subfield

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#algebraic-geometry #algebraic-curves #arithmetic-geometry
871
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writing down the minimal discriminant of an elliptic curve

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#algebraic-geometry #elliptic-curves #algebraic-curves #arithmetic-geometry
219
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How can function fields have different degrees over the projective line

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#algebraic-geometry #riemann-surfaces #algebraic-curves #arithmetic-geometry
1.5k
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the elliptic curves with j-invariant zero

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#algebraic-geometry #elliptic-curves #algebraic-curves #arithmetic-geometry
389
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The number of curves of given genus over a field

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#algebraic-geometry #riemann-surfaces #algebraic-curves #arithmetic-geometry
213
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Representing a curve as a plane curve in different ways

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#algebraic-geometry #riemann-surfaces #plane-curves #algebraic-curves #arithmetic-geometry
193
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Does de Franchis' theorem hold over any base field

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#algebraic-geometry #riemann-surfaces #algebraic-curves #arithmetic-geometry
89
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Factorizing rational functions of curves

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#algebraic-geometry #riemann-surfaces #algebraic-curves #arithmetic-geometry #rational-functions
784
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Primes of good reduction for varieties

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#number-theory #algebraic-geometry #arithmetic-geometry
122
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Why do number rings have no endomorphisms

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#algebraic-geometry #soft-question #algebraic-curves #arithmetic-geometry #function-fields
4.2k
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Learning path to the proof of the Weil Conjectures and étale topology

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#algebraic-geometry #reference-request #self-learning #arithmetic-geometry

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